8620813238400 has 2304 divisors, whose sum is σ = 36001429094400. Its totient is φ = 2011806720000.

The previous prime is 8620813238371. The next prime is 8620813238423. The reversal of 8620813238400 is 48323180268.

8620813238400 is a `hidden beast` number, since 8 + 6 + 2 + 0 + 8 + 1 + 3 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57091478325 + ... + 57091478475.

Almost surely, 2^{8620813238400} is an apocalyptic number.

8620813238400 is a gapful number since it is divisible by the number (80) 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 8620813238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000714547200).

8620813238400 is an abundant number, since it is smaller than the sum of its proper divisors (27380615856000).

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

8620813238400 is a wasteful number, since it uses less digits than its factorization.

8620813238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 8620813238400 in words is "eight trillion, six hundred twenty billion, eight hundred thirteen million, two hundred thirty-eight thousand, four hundred".