24970788864 has 396 divisors, whose sum is σ = 87023398644. Its totient is φ = 7134511104.

The previous prime is 24970788853. The next prime is 24970788883. The reversal of 24970788864 is 46888707942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

24970788864 is a `hidden beast` number, since 2 + 497 + 0 + 7 + 8 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3567255549 + ... + 3567255555.

Almost surely, 2^24970788864 is an apocalyptic number.

24970788864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24970788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511699322).

24970788864 is an abundant number, since it is smaller than the sum of its proper divisors (62052609780).

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

24970788864 is an frugal number, since it uses more digits than its factorization.

24970788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

24970788864 divided by its product of nonzero digits (43352064) gives a square (576 = 24²).

The spelling of 24970788864 in words is "twenty-four billion, nine hundred seventy million, seven hundred eighty-eight thousand, eight hundred sixty-four".