10628706816 has 960 divisors, whose sum is σ = 42319791360. Its totient is φ = 2601123840.

The previous prime is 10628706787. The next prime is 10628706871. The reversal of 10628706816 is 61860782601.

It is a happy number.

10628706816 is a `hidden beast` number, since 1 + 0 + 628 + 7 + 0 + 6 + 8 + 16 = 666.

It is a super-2 number, since 2×10628706816² (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 95 ways as a sum of consecutive naturals, for example, 149700061 + ... + 149700131.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^10628706816 is an apocalyptic number.

10628706816 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 10628706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

10628706816 is an abundant number, since it is smaller than the sum of its proper divisors (31691084544).

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

10628706816 is a wasteful number, since it uses less digits than its factorization.

10628706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10628706816 in words is "ten billion, six hundred twenty-eight million, seven hundred six thousand, eight hundred sixteen".