77008638464 has 80 divisors (see below), whose sum is σ = 155570899968. Its totient is φ = 38079885312.

The previous prime is 77008638397. The next prime is 77008638491. The reversal of 77008638464 is 46483680077.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22561622 + ... + 22565034.

Almost surely, 2^77008638464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77008638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77785449984).

77008638464 is an abundant number, since it is smaller than the sum of its proper divisors (78562261504).

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

77008638464 is a wasteful number, since it uses less digits than its factorization.

77008638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 77008638464 in words is "seventy-seven billion, eight million, six hundred thirty-eight thousand, four hundred sixty-four".