38563400668320 has 2304 divisors, whose sum is σ = 155817722511360. Its totient is φ = 8597294899200.

The previous prime is 38563400668283. The next prime is 38563400668321. The reversal of 38563400668320 is 2386600436583.

38563400668320 is a `hidden beast` number, since 3 + 8 + 563 + 40 + 0 + 6 + 6 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×38563400668320² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38563400668321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 172930047729 + ... + 172930047951.

It is an arithmetic number, because the mean of its divisors is an integer number (67629219840).

Almost surely, 2^{38563400668320} is an apocalyptic number.

38563400668320 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 38563400668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77908861255680).

38563400668320 is an abundant number, since it is smaller than the sum of its proper divisors (117254321843040).

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

38563400668320 is a wasteful number, since it uses less digits than its factorization.

38563400668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 38563400668320 in words is "thirty-eight trillion, five hundred sixty-three billion, four hundred million, six hundred sixty-eight thousand, three hundred twenty".