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664634880 = 29325713317
BaseRepresentation
bin100111100111011…
…000011000000000
31201022121221122200
4213213120120000
52330121304010
6145541233200
722320206010
oct4747303000
91638557580
10664634880
11311195028
12166702800
13a79093a0
14643adc40
153d538cc0
hex279d8600

664634880 has 480 divisors, whose sum is σ = 2841943104. Its totient is φ = 139788288.

The previous prime is 664634869. The next prime is 664634891. The reversal of 664634880 is 88436466.

664634880 is a `hidden beast` number, since 6 + 6 + 4 + 634 + 8 + 8 + 0 = 666.

664634880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664634869) and next prime (664634891).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6646348802 = 883479047425228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096482 + ... + 2096798.

Almost surely, 2664634880 is an apocalyptic number.

664634880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420971552).

664634880 is an abundant number, since it is smaller than the sum of its proper divisors (2177308224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664634880 is a wasteful number, since it uses less digits than its factorization.

664634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 664634880 is about 25780.5135713003. The cubic root of 664634880 is about 872.6920970671.

The spelling of 664634880 in words is "six hundred sixty-four million, six hundred thirty-four thousand, eight hundred eighty".