10640643840 has 288 divisors, whose sum is σ = 38028211200. Its totient is φ = 2817331200.

The previous prime is 10640643803. The next prime is 10640643869. The reversal of 10640643840 is 4834604601.

10640643840 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10640643840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10640643795 and 10640643804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5217541 + ... + 5219579.

It is an arithmetic number, because the mean of its divisors is an integer number (132042400).

Almost surely, 2^10640643840 is an apocalyptic number.

10640643840 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 10640643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014105600).

10640643840 is an abundant number, since it is smaller than the sum of its proper divisors (27387567360).

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

10640643840 is a wasteful number, since it uses less digits than its factorization.

10640643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10640643840 in words is "ten billion, six hundred forty million, six hundred forty-three thousand, eight hundred forty".