864355334960 has 80 divisors (see below), whose sum is σ = 2234026179840. Its totient is φ = 308851522560.

The previous prime is 864355334881. The next prime is 864355334981. The reversal of 864355334960 is 69433553468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×864355334960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 864355334896 and 864355334905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13372775 + ... + 13437254.

It is an arithmetic number, because the mean of its divisors is an integer number (27925327248).

Almost surely, 2^864355334960 is an apocalyptic number.

864355334960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864355334960 is an abundant number, since it is smaller than the sum of its proper divisors (1369670844880).

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

864355334960 is a wasteful number, since it uses less digits than its factorization.

864355334960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26810086 (or 26810080 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 56.

The spelling of 864355334960 in words is "eight hundred sixty-four billion, three hundred fifty-five million, three hundred thirty-four thousand, nine hundred sixty".