64856656260 has 288 divisors, whose sum is σ = 232246490112. Its totient is φ = 15038939520.

The previous prime is 64856656247. The next prime is 64856656261. The reversal of 64856656260 is 6265665846.

64856656260 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 6 + 6 + 5 + 626 + 0 = 666.

It is a super-2 number, since 2×64856656260² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64856656197 and 64856656206.

It is not an unprimeable number, because it can be changed into a prime (64856656261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1203207 + ... + 1255953.

It is an arithmetic number, because the mean of its divisors is an integer number (806411424).

Almost surely, 2^64856656260 is an apocalyptic number.

64856656260 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 64856656260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116123245056).

64856656260 is an abundant number, since it is smaller than the sum of its proper divisors (167389833852).

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

64856656260 is a wasteful number, since it uses less digits than its factorization.

64856656260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52805 (or 52791 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64856656260 in words is "sixty-four billion, eight hundred fifty-six million, six hundred fifty-six thousand, two hundred sixty".