77638161807504 has 225 divisors, whose sum is σ = 225719028872931. Its totient is φ = 25763395947840.

The previous prime is 77638161807499. The next prime is 77638161807511. The reversal of 77638161807504 is 40570816183677.

The square root of 77638161807504 is 8811252.

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

77638161807504 is a `hidden beast` number, since 7 + 7 + 6 + 3 + 8 + 1 + 618 + 0 + 7 + 5 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 98650776999 + ... + 98650777785.

Almost surely, 2^{77638161807504} is an apocalyptic number.

77638161807504 is the 8811252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77638161807504

77638161807504 is an abundant number, since it is smaller than the sum of its proper divisors (148080867065427).

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

77638161807504 is an frugal number, since it uses more digits than its factorization.

77638161807504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 77638161807504 in words is "seventy-seven trillion, six hundred thirty-eight billion, one hundred sixty-one million, eight hundred seven thousand, five hundred four".