21624290704 has 45 divisors (see below), whose sum is σ = 42445437057. Its totient is φ = 10672445952.

The previous prime is 21624290617. The next prime is 21624290741. The reversal of 21624290704 is 40709242612.

The square root of 21624290704 is 147052.

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

It can be written as a sum of positive squares in only one way, i.e., 9710131600 + 11914159104 = 98540^2 + 109152^2 .

It is a super-2 number, since 2×21624290704² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57055987 + ... + 57056365.

Almost surely, 2^21624290704 is an apocalyptic number.

21624290704 is the 147052-nd square number.

It is an amenable number.

21624290704 is a deficient number, since it is larger than the sum of its proper divisors (20821146353).

21624290704 is an frugal number, since it uses more digits than its factorization.

21624290704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 21624290704 in words is "twenty-one billion, six hundred twenty-four million, two hundred ninety thousand, seven hundred four".