7938737112960 has 640 divisors, whose sum is σ = 29024340760800. Its totient is φ = 2067196723200.

The previous prime is 7938737112923. The next prime is 7938737112967. The reversal of 7938737112960 is 692117378397.

7938737112960 is a `hidden beast` number, since 7 + 9 + 3 + 87 + 371 + 129 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938737112967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439542330 + ... + 439560390.

Almost surely, 2^{7938737112960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938737112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512170380400).

7938737112960 is an abundant number, since it is smaller than the sum of its proper divisors (21085603647840).

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

7938737112960 is a wasteful number, since it uses less digits than its factorization.

7938737112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292 (or 18271 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 7938737112960 in words is "seven trillion, nine hundred thirty-eight billion, seven hundred thirty-seven million, one hundred twelve thousand, nine hundred sixty".