10742624224 has 24 divisors (see below), whose sum is σ = 22393633248. Its totient is φ = 5055352320.

The previous prime is 10742624213. The next prime is 10742624281. The reversal of 10742624224 is 42242624701.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10742624224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9873192 + ... + 9874279.

It is an arithmetic number, because the mean of its divisors is an integer number (933068052).

Almost surely, 2^10742624224 is an apocalyptic number.

It is an amenable number.

10742624224 is an abundant number, since it is smaller than the sum of its proper divisors (11651009024).

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

10742624224 is a wasteful number, since it uses less digits than its factorization.

10742624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19747498 (or 19747490 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 10742624224 in words is "ten billion, seven hundred forty-two million, six hundred twenty-four thousand, two hundred twenty-four".