107716976640 has 1344 divisors, whose sum is σ = 486614419200. Its totient is φ = 21530935296.

The previous prime is 107716976629. The next prime is 107716976641. The reversal of 107716976640 is 46679617701.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107716976641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5669314551 + ... + 5669314569.

It is an arithmetic number, because the mean of its divisors is an integer number (362064300).

Almost surely, 2^107716976640 is an apocalyptic number.

107716976640 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 107716976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243307209600).

107716976640 is an abundant number, since it is smaller than the sum of its proper divisors (378897442560).

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

107716976640 is an equidigital number, since it uses as much as digits as its factorization.

107716976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 107716976640 in words is "one hundred seven billion, seven hundred sixteen million, nine hundred seventy-six thousand, six hundred forty".