10644700416 has 288 divisors, whose sum is σ = 34996550400. Its totient is φ = 2861236224.

The previous prime is 10644700379. The next prime is 10644700421. The reversal of 10644700416 is 61400744601.

It is a super-2 number, since 2×10644700416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 4477020 + ... + 4479396.

It is an arithmetic number, because the mean of its divisors is an integer number (121515800).

Almost surely, 2^10644700416 is an apocalyptic number.

10644700416 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 10644700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498275200).

10644700416 is an abundant number, since it is smaller than the sum of its proper divisors (24351849984).

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

10644700416 is an equidigital number, since it uses as much as digits as its factorization.

10644700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10644700416 in words is "ten billion, six hundred forty-four million, seven hundred thousand, four hundred sixteen".