107613025733664 has 576 divisors, whose sum is σ = 351985181184000. Its totient is φ = 30885703833600.

The previous prime is 107613025733641. The next prime is 107613025733861. The reversal of 107613025733664 is 466337520316701.

It is a happy number.

107613025733664 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 3 + 0 + 2 + 573 + 3 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107613025733664.

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, 1298018037 + ... + 1298100939.

It is an arithmetic number, because the mean of its divisors is an integer number (611085384000).

Almost surely, 2^{107613025733664} 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 107613025733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175992590592000).

107613025733664 is an abundant number, since it is smaller than the sum of its proper divisors (244372155450336).

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

107613025733664 is a wasteful number, since it uses less digits than its factorization.

107613025733664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83229 (or 83218 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 107613025733664 in words is "one hundred seven trillion, six hundred thirteen billion, twenty-five million, seven hundred thirty-three thousand, six hundred sixty-four".