10680864768 has 546 divisors, whose sum is σ = 37762754334. Its totient is φ = 3009871872.

The previous prime is 10680864721. The next prime is 10680864769. The reversal of 10680864768 is 86746808601.

10680864768 is a `hidden beast` number, since 10 + 6 + 80 + 86 + 476 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9364045824 + 1316818944 = 96768^2 + 36288^2 .

It is a super-2 number, since 2×10680864768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10680864769) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146313180 + ... + 146313252.

Almost surely, 2^10680864768 is an apocalyptic number.

10680864768 is a gapful number since it is divisible by the number (18) 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 10680864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881377167).

10680864768 is an abundant number, since it is smaller than the sum of its proper divisors (27081889566).

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

10680864768 is an frugal number, since it uses more digits than its factorization.

10680864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10680864768 in words is "ten billion, six hundred eighty million, eight hundred sixty-four thousand, seven hundred sixty-eight".