368520332880 has 480 divisors, whose sum is σ = 1411606258560. Its totient is φ = 79024619520.

The previous prime is 368520332861. The next prime is 368520332893. The reversal of 368520332880 is 88233025863.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66170736 + ... + 66176304.

It is an arithmetic number, because the mean of its divisors is an integer number (2940846372).

Almost surely, 2^368520332880 is an apocalyptic number.

368520332880 is a gapful number since it is divisible by the number (30) 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 368520332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705803129280).

368520332880 is an abundant number, since it is smaller than the sum of its proper divisors (1043085925680).

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

368520332880 is a wasteful number, since it uses less digits than its factorization.

368520332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 368520332880 in words is "three hundred sixty-eight billion, five hundred twenty million, three hundred thirty-two thousand, eight hundred eighty".