107407368432 has 480 divisors, whose sum is σ = 408771836928. Its totient is φ = 25500524544.

The previous prime is 107407368407. The next prime is 107407368491. The reversal of 107407368432 is 234863704701.

107407368432 is a `hidden beast` number, since 107 + 40 + 73 + 6 + 8 + 432 = 666.

It is a super-3 number, since 3×107407368432³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 5113183 + ... + 5134145.

Almost surely, 2^107407368432 is an apocalyptic number.

107407368432 is a gapful number since it is divisible by the number (12) 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 107407368432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204385918464).

107407368432 is an abundant number, since it is smaller than the sum of its proper divisors (301364468496).

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

107407368432 is a wasteful number, since it uses less digits than its factorization.

107407368432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21037 (or 21028 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 107407368432 in words is "one hundred seven billion, four hundred seven million, three hundred sixty-eight thousand, four hundred thirty-two".