10776568320 has 320 divisors, whose sum is σ = 43749699840. Its totient is φ = 2463105024.

The previous prime is 10776568307. The next prime is 10776568339. The reversal of 10776568320 is 2386567701.

10776568320 is a `hidden beast` number, since 10 + 7 + 76 + 568 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10776568320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 472704 + ... + 494976.

It is an arithmetic number, because the mean of its divisors is an integer number (136717812).

Almost surely, 2^10776568320 is an apocalyptic number.

10776568320 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 10776568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874849920).

10776568320 is an abundant number, since it is smaller than the sum of its proper divisors (32973131520).

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

10776568320 is an equidigital number, since it uses as much as digits as its factorization.

10776568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22312 (or 22290 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10776568320 in words is "ten billion, seven hundred seventy-six million, five hundred sixty-eight thousand, three hundred twenty".