10707616320 has 112 divisors (see below), whose sum is σ = 34327063680. Its totient is φ = 2827616256.

The previous prime is 10707616291. The next prime is 10707616343. The reversal of 10707616320 is 2361670701.

It is a super-2 number, since 2×10707616320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44736 + ... + 153024.

It is an arithmetic number, because the mean of its divisors is an integer number (306491640).

Almost surely, 2^10707616320 is an apocalyptic number.

10707616320 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 10707616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163531840).

10707616320 is an abundant number, since it is smaller than the sum of its proper divisors (23619447360).

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

10707616320 is a wasteful number, since it uses less digits than its factorization.

10707616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108412 (or 108402 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 10707616320 in words is "ten billion, seven hundred seven million, six hundred sixteen thousand, three hundred twenty".