64956023820900 has 243 divisors, whose sum is σ = 216295769136811. Its totient is φ = 16301656711680.

The previous prime is 64956023820881. The next prime is 64956023820901. The reversal of 64956023820900 is 902832065946.

It is a happy number.

The square root of 64956023820900 is 8059530.

It is a perfect power (a square), and thus also a powerful number.

64956023820900 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 602 + 3 + 8 + 20 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1519386577956 + 63436637242944 = 1232634^2 + 7964712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64956023820901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4110352399 + ... + 4110368201.

Almost surely, 2^{64956023820900} is an apocalyptic number.

64956023820900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64956023820900 is the 8059530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64956023820900

64956023820900 is an abundant number, since it is smaller than the sum of its proper divisors (151339745315911).

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

64956023820900 is a wasteful number, since it uses less digits than its factorization.

64956023820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31660 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 64956023820900 in words is "sixty-four trillion, nine hundred fifty-six billion, twenty-three million, eight hundred twenty thousand, nine hundred".