360900156864 has 896 divisors, whose sum is σ = 1195526062080. Its totient is φ = 94887936000.

The previous prime is 360900156839. The next prime is 360900156901. The reversal of 360900156864 is 468651009063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2390067189 + ... + 2390067339.

It is an arithmetic number, because the mean of its divisors is an integer number (1334292480).

Almost surely, 2^360900156864 is an apocalyptic number.

360900156864 is a gapful number since it is divisible by the number (34) 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 360900156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597763031040).

360900156864 is an abundant number, since it is smaller than the sum of its proper divisors (834625905216).

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

360900156864 is a wasteful number, since it uses less digits than its factorization.

360900156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 360900156864 in words is "three hundred sixty billion, nine hundred million, one hundred fifty-six thousand, eight hundred sixty-four".