10642731732 has 72 divisors (see below), whose sum is σ = 27376541192. Its totient is φ = 3485203200.

The previous prime is 10642731713. The next prime is 10642731733. The reversal of 10642731732 is 23713724601.

10642731732 is a `hidden beast` number, since 1 + 0 + 642 + 7 + 3 + 1 + 7 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2822159376 + 7820572356 = 53124^2 + 88434^2 .

It is a super-2 number, since 2×10642731732² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642731733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2186982 + ... + 2191842.

Almost surely, 2^10642731732 is an apocalyptic number.

10642731732 is a gapful number since it is divisible by the number (12) 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 10642731732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688270596).

10642731732 is an abundant number, since it is smaller than the sum of its proper divisors (16733809460).

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

10642731732 is a wasteful number, since it uses less digits than its factorization.

10642731732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 10642731732 in words is "ten billion, six hundred forty-two million, seven hundred thirty-one thousand, seven hundred thirty-two".