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663625478880 = 25335731347733
BaseRepresentation
bin10011010100000110010…
…10010011001011100000
32100102221012102021022000
421222003022103023200
541333101110311010
61224510525044000
765642154333000
oct11520312231340
92312835367260
10663625478880
112364953115a1
12a87469b6600
134a76c548970
142419643a000
15123e0a167c0
hex9a832932e0

663625478880 has 1536 divisors, whose sum is σ = 2983163904000. Its totient is φ = 136851628032.

The previous prime is 663625478863. The next prime is 663625478881. The reversal of 663625478880 is 88874526366.

663625478880 is a `hidden beast` number, since 6 + 6 + 3 + 6 + 2 + 547 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663625478881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 905354994 + ... + 905355726.

It is an arithmetic number, because the mean of its divisors is an integer number (1942164000).

Almost surely, 2663625478880 is an apocalyptic number.

663625478880 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 663625478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491581952000).

663625478880 is an abundant number, since it is smaller than the sum of its proper divisors (2319538425120).

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

663625478880 is a wasteful number, since it uses less digits than its factorization.

663625478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 663625478880 in words is "six hundred sixty-three billion, six hundred twenty-five million, four hundred seventy-eight thousand, eight hundred eighty".