10640983920 has 320 divisors, whose sum is σ = 40060293120. Its totient is φ = 2284498944.

The previous prime is 10640983897. The next prime is 10640983933. The reversal of 10640983920 is 2938904601.

It is a super-2 number, since 2×10640983920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1799689 + ... + 1805591.

It is an arithmetic number, because the mean of its divisors is an integer number (125188416).

Almost surely, 2^10640983920 is an apocalyptic number.

10640983920 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 10640983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030146560).

10640983920 is an abundant number, since it is smaller than the sum of its proper divisors (29419309200).

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

10640983920 is a wasteful number, since it uses less digits than its factorization.

10640983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 10640983920 in words is "ten billion, six hundred forty million, nine hundred eighty-three thousand, nine hundred twenty".