107376711264 has 384 divisors, whose sum is σ = 342667584000. Its totient is φ = 32582559744.

The previous prime is 107376711223. The next prime is 107376711301. The reversal of 107376711264 is 462117673701.

107376711264 is a `hidden beast` number, since 1 + 0 + 7 + 376 + 7 + 11 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134725714 + ... + 134726510.

It is an arithmetic number, because the mean of its divisors is an integer number (892363500).

Almost surely, 2^107376711264 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 107376711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171333792000).

107376711264 is an abundant number, since it is smaller than the sum of its proper divisors (235290872736).

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

107376711264 is a wasteful number, since it uses less digits than its factorization.

107376711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 107376711264 in words is "one hundred seven billion, three hundred seventy-six million, seven hundred eleven thousand, two hundred sixty-four".