107634992640 has 320 divisors, whose sum is σ = 395267558400. Its totient is φ = 24476221440.

The previous prime is 107634992627. The next prime is 107634992651. The reversal of 107634992640 is 46299436701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×107634992640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10693210 + ... + 10703270.

It is an arithmetic number, because the mean of its divisors is an integer number (1235211120).

Almost surely, 2^107634992640 is an apocalyptic number.

107634992640 is a gapful number since it is divisible by the number (10) 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 107634992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197633779200).

107634992640 is an abundant number, since it is smaller than the sum of its proper divisors (287632565760).

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

107634992640 is a wasteful number, since it uses less digits than its factorization.

107634992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 107634992640 in words is "one hundred seven billion, six hundred thirty-four million, nine hundred ninety-two thousand, six hundred forty".