864377027577100 has 72 divisors (see below), whose sum is σ = 1877132453833728. Its totient is φ = 345486524443200.

The previous prime is 864377027577083. The next prime is 864377027577103. The reversal of 864377027577100 is 1775720773468.

It is not an unprimeable number, because it can be changed into a prime (864377027577103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685207539 + ... + 686467861.

It is an arithmetic number, because the mean of its divisors is an integer number (26071284081024).

Almost surely, 2^{864377027577100} is an apocalyptic number.

It is an amenable number.

864377027577100 is an abundant number, since it is smaller than the sum of its proper divisors (1012755426256628).

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

864377027577100 is a wasteful number, since it uses less digits than its factorization.

864377027577100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265575 (or 1265568 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 64.

The spelling of 864377027577100 in words is "eight hundred sixty-four trillion, three hundred seventy-seven billion, twenty-seven million, five hundred seventy-seven thousand, one hundred".