638315112960 has 960 divisors, whose sum is σ = 2652264172800. Its totient is φ = 145086971904.

The previous prime is 638315112943. The next prime is 638315112961. The reversal of 638315112960 is 69211513836.

638315112960 is a `hidden beast` number, since 6 + 38 + 315 + 11 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (638315112961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775595109 + ... + 775595931.

It is an arithmetic number, because the mean of its divisors is an integer number (2762775180).

Almost surely, 2^638315112960 is an apocalyptic number.

638315112960 is a gapful number since it is divisible by the number (60) 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 638315112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326132086400).

638315112960 is an abundant number, since it is smaller than the sum of its proper divisors (2013949059840).

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

638315112960 is a wasteful number, since it uses less digits than its factorization.

638315112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 638315112960 in words is "six hundred thirty-eight billion, three hundred fifteen million, one hundred twelve thousand, nine hundred sixty".