10664362560 has 224 divisors, whose sum is σ = 36872265600. Its totient is φ = 2601123840.

The previous prime is 10664362543. The next prime is 10664362561. The reversal of 10664362560 is 6526346601.

It is a super-2 number, since 2×10664362560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10664362561) 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, 518880 + ... + 539040.

Almost surely, 2^10664362560 is an apocalyptic number.

10664362560 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 10664362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436132800).

10664362560 is an abundant number, since it is smaller than the sum of its proper divisors (26207903040).

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

10664362560 is a wasteful number, since it uses less digits than its factorization.

10664362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20229 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 10664362560 in words is "ten billion, six hundred sixty-four million, three hundred sixty-two thousand, five hundred sixty".