10640920576 has 208 divisors, whose sum is σ = 25727341248. Its totient is φ = 4335206400.

The previous prime is 10640920573. The next prime is 10640920579. The reversal of 10640920576 is 67502904601.

It is an interprime number because it is at equal distance from previous prime (10640920573) and next prime (10640920579).

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×10640920576² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640920573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21671691 + ... + 21672181.

Almost surely, 2^10640920576 is an apocalyptic number.

10640920576 is a gapful number since it is divisible by the number (16) 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 10640920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863670624).

10640920576 is an abundant number, since it is smaller than the sum of its proper divisors (15086420672).

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

10640920576 is a wasteful number, since it uses less digits than its factorization.

10640920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10640920576 in words is "ten billion, six hundred forty million, nine hundred twenty thousand, five hundred seventy-six".