11627740224 has 63 divisors (see below), whose sum is σ = 33336237493. Its totient is φ = 3875050752.

The previous prime is 11627740193. The next prime is 11627740231. The reversal of 11627740224 is 42204772611.

The square root of 11627740224 is 107832.

It is a perfect power (a square), and thus also a powerful number.

11627740224 is a `hidden beast` number, since 1 + 1 + 627 + 7 + 4 + 0 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11586369600 + 41370624 = 107640^2 + 6432^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2585722 + ... + 2590214.

Almost surely, 2^11627740224 is an apocalyptic number.

11627740224 is the 107832-nd square number.

It is an amenable number.

11627740224 is an abundant number, since it is smaller than the sum of its proper divisors (21708497269).

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

11627740224 is an frugal number, since it uses more digits than its factorization.

11627740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 11627740224 by its sum of digits (36), we get a square (418598648064 = 646992²).

11627740224 divided by its sum of digits (36) gives a square (322992784 = 17972²).

The spelling of 11627740224 in words is "eleven billion, six hundred twenty-seven million, seven hundred forty thousand, two hundred twenty-four".