368360289920 has 256 divisors, whose sum is σ = 1072811520000. Its totient is φ = 118131167232.

The previous prime is 368360289881. The next prime is 368360289931. The reversal of 368360289920 is 29982063863.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6697091 + ... + 6751869.

It is an arithmetic number, because the mean of its divisors is an integer number (4190670000).

Almost surely, 2^368360289920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368360289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536405760000).

368360289920 is an abundant number, since it is smaller than the sum of its proper divisors (704451230080).

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

368360289920 is a wasteful number, since it uses less digits than its factorization.

368360289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54903 (or 54891 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 368360289920 in words is "three hundred sixty-eight billion, three hundred sixty million, two hundred eighty-nine thousand, nine hundred twenty".