77867385163008 has 576 divisors, whose sum is σ = 250215818496000. Its totient is φ = 21000664350720.

The previous prime is 77867385162953. The next prime is 77867385163031. The reversal of 77867385163008 is 80036158376877.

It is a congruent number.

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, 50269453818 + ... + 50269455366.

Almost surely, 2^{77867385163008} 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 77867385163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125107909248000).

77867385163008 is an abundant number, since it is smaller than the sum of its proper divisors (172348433332992).

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

77867385163008 is a wasteful number, since it uses less digits than its factorization.

77867385163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 77867385163008 in words is "seventy-seven trillion, eight hundred sixty-seven billion, three hundred eighty-five million, one hundred sixty-three thousand, eight".