64791120681 has 243 divisors, whose sum is σ = 124919708823. Its totient is φ = 32255435520.

The previous prime is 64791120671. The next prime is 64791120697. The reversal of 64791120681 is 18602119746.

64791120681 = 1³ + 2³ + ... + 713³.

The square root of 64791120681 is 254541.

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

64791120681 is a `hidden beast` number, since 6 + 479 + 112 + 0 + 68 + 1 = 666.

64791120681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 50442914025 + 14348206656 = 224595^2 + 119784^2 .

It is not a de Polignac number, because 64791120681 - 2²¹ = 64789023529 is a prime.

It is a super-2 number, since 2×64791120681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64791120671) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2090036136 + ... + 2090036166.

Almost surely, 2^64791120681 is an apocalyptic number.

64791120681 is the 254541-st square number.

64791120681 is the 127271-st centered octagonal number.

It is an amenable number.

64791120681 is a deficient number, since it is larger than the sum of its proper divisors (60128588142).

64791120681 is a wasteful number, since it uses less digits than its factorization.

64791120681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 64791120681 in words is "sixty-four billion, seven hundred ninety-one million, one hundred twenty thousand, six hundred eighty-one".