77136463404160 has 32 divisors (see below), whose sum is σ = 184404357827100. Its totient is φ = 30854585361408.

The previous prime is 77136463404157. The next prime is 77136463404179. The reversal of 77136463404160 is 6140436463177.

It can be written as a sum of positive squares in 2 ways, for example, as 73538582815296 + 3597880588864 = 8575464^2 + 1896808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×77136463404160³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77136463404098 and 77136463404107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60262861395 + ... + 60262862674.

Almost surely, 2^{77136463404160} is an apocalyptic number.

It is an amenable number.

77136463404160 is an abundant number, since it is smaller than the sum of its proper divisors (107267894422940).

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

77136463404160 is a wasteful number, since it uses less digits than its factorization.

77136463404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120525724088 (or 120525724076 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 77136463404160 in words is "seventy-seven trillion, one hundred thirty-six billion, four hundred sixty-three million, four hundred four thousand, one hundred sixty".