368392088064 has 1280 divisors, whose sum is σ = 1393830789120. Its totient is φ = 83386368000.

The previous prime is 368392088063. The next prime is 368392088083. The reversal of 368392088064 is 460880293863.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 368392087995 and 368392088013.

It is not an unprimeable number, because it can be changed into a prime (368392088063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2812153279 + ... + 2812153409.

It is an arithmetic number, because the mean of its divisors is an integer number (1088930304).

Almost surely, 2^368392088064 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 368392088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696915394560).

368392088064 is an abundant number, since it is smaller than the sum of its proper divisors (1025438701056).

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

368392088064 is a wasteful number, since it uses less digits than its factorization.

368392088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 368392088064 in words is "three hundred sixty-eight billion, three hundred ninety-two million, eighty-eight thousand, sixty-four".