10007680816 has 160 divisors (see below), whose sum is σ = 23498496000. Its totient is φ = 4124090880.

The previous prime is 10007680769. The next prime is 10007680861. The reversal of 10007680816 is 61808670001.

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, 17775351 + ... + 17775913.

It is an arithmetic number, because the mean of its divisors is an integer number (146865600).

Almost surely, 2^10007680816 is an apocalyptic number.

10007680816 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 10007680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749248000).

10007680816 is an abundant number, since it is smaller than the sum of its proper divisors (13490815184).

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

10007680816 is an equidigital number, since it uses as much as digits as its factorization.

10007680816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10007680816 in words is "ten billion, seven million, six hundred eighty thousand, eight hundred sixteen".