15680379456 has 168 divisors, whose sum is σ = 52414627200. Its totient is φ = 4480051968.

The previous prime is 15680379409. The next prime is 15680379457. The reversal of 15680379456 is 65497308651.

15680379456 is a `hidden beast` number, since 1 + 568 + 0 + 3 + 79 + 4 + 5 + 6 = 666.

15680379456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (15680379457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157885 + ... + 237251.

Almost surely, 2^15680379456 is an apocalyptic number.

15680379456 is a gapful number since it is divisible by the number (16) 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 15680379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26207313600).

15680379456 is an abundant number, since it is smaller than the sum of its proper divisors (36734247744).

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

15680379456 is an equidigital number, since it uses as much as digits as its factorization.

15680379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79406 (or 79379 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 15680379456 in words is "fifteen billion, six hundred eighty million, three hundred seventy-nine thousand, four hundred fifty-six".