10640845760832 has 1008 divisors, whose sum is σ = 37883232092160. Its totient is φ = 2839162669056.

The previous prime is 10640845760821. The next prime is 10640845760833. The reversal of 10640845760832 is 23806754804601.

It is a happy number.

10640845760832 is a `hidden beast` number, since 1 + 0 + 64 + 0 + 8 + 4 + 576 + 0 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10640845760832² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640845760833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21154762693 + ... + 21154763195.

It is an arithmetic number, because the mean of its divisors is an integer number (37582571520).

Almost surely, 2^{10640845760832} is an apocalyptic number.

10640845760832 is a gapful number since it is divisible by the number (12) 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 10640845760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941616046080).

10640845760832 is an abundant number, since it is smaller than the sum of its proper divisors (27242386331328).

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

10640845760832 is a wasteful number, since it uses less digits than its factorization.

10640845760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10640845760832 in words is "ten trillion, six hundred forty billion, eight hundred forty-five million, seven hundred sixty thousand, eight hundred thirty-two".