10645884760 has 64 divisors (see below), whose sum is σ = 27428051520. Its totient is φ = 3642961920.

The previous prime is 10645884751. The next prime is 10645884763. The reversal of 10645884760 is 6748854601.

It is a super-2 number, since 2×10645884760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645884763) 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, 109392 + ... + 182368.

It is an arithmetic number, because the mean of its divisors is an integer number (428563305).

Almost surely, 2^10645884760 is an apocalyptic number.

10645884760 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 10645884760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714025760).

10645884760 is an abundant number, since it is smaller than the sum of its proper divisors (16782166760).

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

10645884760 is a wasteful number, since it uses less digits than its factorization.

10645884760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73516 (or 73512 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 10645884760 in words is "ten billion, six hundred forty-five million, eight hundred eighty-four thousand, seven hundred sixty".