38457768960 has 528 divisors, whose sum is σ = 146941258464. Its totient is φ = 9240182784.

The previous prime is 38457768929. The next prime is 38457768977. The reversal of 38457768960 is 6986775483.

38457768960 is a `hidden beast` number, since 38 + 457 + 7 + 68 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25757974 + ... + 25759466.

It is an arithmetic number, because the mean of its divisors is an integer number (278297838).

Almost surely, 2^38457768960 is an apocalyptic number.

38457768960 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 38457768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73470629232).

38457768960 is an abundant number, since it is smaller than the sum of its proper divisors (108483489504).

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

38457768960 is a wasteful number, since it uses less digits than its factorization.

38457768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 38457768960 in words is "thirty-eight billion, four hundred fifty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".