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64766604672 = 2734711312617
BaseRepresentation
bin111100010100011000…
…111111010110000000
320012011200210102010000
4330110120333112000
52030120222322142
645430421040000
74451656025220
oct742430772600
9205150712100
1064766604672
1125516072770
1210676256000
13615213b223
1431c595c080
151a40e5514c
hexf1463f580

64766604672 has 640 divisors, whose sum is σ = 248151214080. Its totient is φ = 16273612800.

The previous prime is 64766604671. The next prime is 64766604731. The reversal of 64766604672 is 27640666746.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64766604671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24747108 + ... + 24749724.

It is an arithmetic number, because the mean of its divisors is an integer number (387736272).

Almost surely, 264766604672 is an apocalyptic number.

64766604672 is a gapful number since it is divisible by the number (62) 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 64766604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124075607040).

64766604672 is an abundant number, since it is smaller than the sum of its proper divisors (183384609408).

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

64766604672 is a wasteful number, since it uses less digits than its factorization.

64766604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 64766604672 in words is "sixty-four billion, seven hundred sixty-six million, six hundred four thousand, six hundred seventy-two".