77155985961264 has 960 divisors, whose sum is σ = 246602859264000. Its totient is φ = 20344046469120.

The previous prime is 77155985961193. The next prime is 77155985961281. The reversal of 77155985961264 is 46216958955177.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158431182429 + ... + 158431182915.

It is an arithmetic number, because the mean of its divisors is an integer number (256877978400).

Almost surely, 2^{77155985961264} is an apocalyptic number.

77155985961264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77155985961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123301429632000).

77155985961264 is an abundant number, since it is smaller than the sum of its proper divisors (169446873302736).

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

77155985961264 is a wasteful number, since it uses less digits than its factorization.

77155985961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 805 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 75.

The spelling of 77155985961264 in words is "seventy-seven trillion, one hundred fifty-five billion, nine hundred eighty-five million, nine hundred sixty-one thousand, two hundred sixty-four".