10642564944 has 320 divisors, whose sum is σ = 36049121280. Its totient is φ = 2969671680.

The previous prime is 10642564937. The next prime is 10642564949. The reversal of 10642564944 is 44946524601.

10642564944 is a `hidden beast` number, since 1 + 0 + 6 + 42 + 564 + 9 + 44 = 666.

It is a super-2 number, since 2×10642564944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10642564944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642564949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3795447 + ... + 3798249.

It is an arithmetic number, because the mean of its divisors is an integer number (112653504).

Almost surely, 2^10642564944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642564944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024560640).

10642564944 is an abundant number, since it is smaller than the sum of its proper divisors (25406556336).

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

10642564944 is a wasteful number, since it uses less digits than its factorization.

10642564944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10642564944 in words is "ten billion, six hundred forty-two million, five hundred sixty-four thousand, nine hundred forty-four".