107696436480 has 432 divisors, whose sum is σ = 393274103040. Its totient is φ = 27155791872.

The previous prime is 107696436469. The next prime is 107696436509. The reversal of 107696436480 is 84634696701.

107696436480 is a `hidden beast` number, since 1 + 0 + 76 + 9 + 64 + 36 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23579157 + ... + 23583723.

It is an arithmetic number, because the mean of its divisors is an integer number (910356720).

Almost surely, 2^107696436480 is an apocalyptic number.

107696436480 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 107696436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196637051520).

107696436480 is an abundant number, since it is smaller than the sum of its proper divisors (285577666560).

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

107696436480 is a wasteful number, since it uses less digits than its factorization.

107696436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 107696436480 in words is "one hundred seven billion, six hundred ninety-six million, four hundred thirty-six thousand, four hundred eighty".