107679362688 has 320 divisors, whose sum is σ = 334700229600. Its totient is φ = 34321287168.

The previous prime is 107679362671. The next prime is 107679362741. The reversal of 107679362688 is 886263976701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32170231 + ... + 32173577.

Almost surely, 2^107679362688 is an apocalyptic number.

107679362688 is a gapful number since it is divisible by the number (18) 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 107679362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167350114800).

107679362688 is an abundant number, since it is smaller than the sum of its proper divisors (227020866912).

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

107679362688 is a wasteful number, since it uses less digits than its factorization.

107679362688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 107679362688 in words is "one hundred seven billion, six hundred seventy-nine million, three hundred sixty-two thousand, six hundred eighty-eight".