320628683343024 has 400 divisors, whose sum is σ = 1089297143877888. Its totient is φ = 89126528684544.

The previous prime is 320628683342999. The next prime is 320628683343103. The reversal of 320628683343024 is 420343386826023.

It is a happy number.

320628683343024 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 286 + 8 + 334 + 3 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10132673347 + ... + 10132704989.

Almost surely, 2^{320628683343024} 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 320628683343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544648571938944).

320628683343024 is an abundant number, since it is smaller than the sum of its proper divisors (768668460534864).

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

320628683343024 is a wasteful number, since it uses less digits than its factorization.

320628683343024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61894 (or 61879 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 320628683343024 in words is "three hundred twenty trillion, six hundred twenty-eight billion, six hundred eighty-three million, three hundred forty-three thousand, twenty-four".