10640289840 has 160 divisors (see below), whose sum is σ = 33342865920. Its totient is φ = 2806806528.

The previous prime is 10640289833. The next prime is 10640289853. The reversal of 10640289840 is 4898204601.

It is a super-2 number, since 2×10640289840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10640289792 and 10640289801.

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, 10009149 + ... + 10010211.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^10640289840 is an apocalyptic number.

10640289840 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 10640289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671432960).

10640289840 is an abundant number, since it is smaller than the sum of its proper divisors (22702576080).

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

10640289840 is a wasteful number, since it uses less digits than its factorization.

10640289840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10640289840 in words is "ten billion, six hundred forty million, two hundred eighty-nine thousand, eight hundred forty".