8937367104960 has 672 divisors, whose sum is σ = 37224175000320. Its totient is φ = 2012330428416.

The previous prime is 8937367104899. The next prime is 8937367104997. The reversal of 8937367104960 is 694017637398.

8937367104960 is a `hidden beast` number, since 8 + 9 + 3 + 73 + 6 + 71 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×8937367104960⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28207579 + ... + 28522661.

It is an arithmetic number, because the mean of its divisors is an integer number (55393117560).

Almost surely, 2^{8937367104960} is an apocalyptic number.

8937367104960 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 8937367104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612087500160).

8937367104960 is an abundant number, since it is smaller than the sum of its proper divisors (28286807895360).

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

8937367104960 is a wasteful number, since it uses less digits than its factorization.

8937367104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315190 (or 315167 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 8937367104960 in words is "eight trillion, nine hundred thirty-seven billion, three hundred sixty-seven million, one hundred four thousand, nine hundred sixty".