24395940864 has 99 divisors (see below), whose sum is σ = 70486072527. Its totient is φ = 8126982144.

The previous prime is 24395940859. The next prime is 24395940923. The reversal of 24395940864 is 46804959342.

The square root of 24395940864 is 156192.

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

24395940864 is a `hidden beast` number, since 2 + 43 + 9 + 594 + 0 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 24395940864.

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, 14993619 + ... + 14995245.

Almost surely, 2^24395940864 is an apocalyptic number.

24395940864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24395940864 is the 156192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24395940864

24395940864 is an abundant number, since it is smaller than the sum of its proper divisors (46090131663).

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

24395940864 is an frugal number, since it uses more digits than its factorization.

24395940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 24395940864 in words is "twenty-four billion, three hundred ninety-five million, nine hundred forty thousand, eight hundred sixty-four".