10632701040 has 160 divisors (see below), whose sum is σ = 35583722496. Its totient is φ = 2610877440.

The previous prime is 10632701033. The next prime is 10632701081. The reversal of 10632701040 is 4010723601.

It is a super-2 number, since 2×10632701040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10632701040.

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, 1340767 + ... + 1348673.

Almost surely, 2^10632701040 is an apocalyptic number.

10632701040 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 10632701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791861248).

10632701040 is an abundant number, since it is smaller than the sum of its proper divisors (24951021456).

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

10632701040 is a wasteful number, since it uses less digits than its factorization.

10632701040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 10632701040 in words is "ten billion, six hundred thirty-two million, seven hundred one thousand, forty".