10640293680 has 160 divisors (see below), whose sum is σ = 34320089088. Its totient is φ = 2724019200.

The previous prime is 10640293667. The next prime is 10640293681. The reversal of 10640293680 is 8639204601.

It is a super-2 number, since 2×10640293680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640293681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939250 + ... + 950510.

Almost surely, 2^10640293680 is an apocalyptic number.

10640293680 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 10640293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160044544).

10640293680 is an abundant number, since it is smaller than the sum of its proper divisors (23679795408).

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

10640293680 is a wasteful number, since it uses less digits than its factorization.

10640293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11435 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10640293680 in words is "ten billion, six hundred forty million, two hundred ninety-three thousand, six hundred eighty".