360564464400 has 120 divisors (see below), whose sum is σ = 1320009365184. Its totient is φ = 82414732800.

The previous prime is 360564464371. The next prime is 360564464483. The reversal of 360564464400 is 4464465063.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21453771 + ... + 21470570.

Almost surely, 2^360564464400 is an apocalyptic number.

360564464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360564464400 is an abundant number, since it is smaller than the sum of its proper divisors (959444900784).

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

360564464400 is a wasteful number, since it uses less digits than its factorization.

360564464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42924369 (or 42924358 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 360564464400 in words is "three hundred sixty billion, five hundred sixty-four million, four hundred sixty-four thousand, four hundred".