77008638465 has 64 divisors (see below), whose sum is σ = 157210675200. Its totient is φ = 35372376000.

The previous prime is 77008638397. The next prime is 77008638491. The reversal of 77008638465 is 56483680077.

77008638465 is a `hidden beast` number, since 7 + 70 + 0 + 86 + 38 + 465 = 666.

It is not a de Polignac number, because 77008638465 - 2¹¹ = 77008636417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336461 + ... + 1392890.

It is an arithmetic number, because the mean of its divisors is an integer number (2456416800).

Almost surely, 2^77008638465 is an apocalyptic number.

It is an amenable number.

77008638465 is an abundant number, since it is smaller than the sum of its proper divisors (80202036735).

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

77008638465 is a wasteful number, since it uses less digits than its factorization.

77008638465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729395 (or 2729389 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 77008638465 in words is "seventy-seven billion, eight million, six hundred thirty-eight thousand, four hundred sixty-five".