24470970624 has 81 divisors (see below), whose sum is σ = 70577497263. Its totient is φ = 8154487296.

The previous prime is 24470970613. The next prime is 24470970653. The reversal of 24470970624 is 42607907442.

The square root of 24470970624 is 156432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 24470970624.

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, 7507107 + ... + 7510365.

Almost surely, 2^24470970624 is an apocalyptic number.

24470970624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24470970624 is the 156432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24470970624

24470970624 is an abundant number, since it is smaller than the sum of its proper divisors (46106526639).

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

24470970624 is an frugal number, since it uses more digits than its factorization.

24470970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 24470970624 in words is "twenty-four billion, four hundred seventy million, nine hundred seventy thousand, six hundred twenty-four".