24799997664 has 384 divisors, whose sum is σ = 86080942080. Its totient is φ = 6868426752.

The previous prime is 24799997639. The next prime is 24799997689. The reversal of 24799997664 is 46679999742.

24799997664 is a `hidden beast` number, since 2 + 479 + 9 + 9 + 97 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (24799997639) and next prime (24799997689).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 24799997592 and 24799997601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4388889 + ... + 4394535.

It is an arithmetic number, because the mean of its divisors is an integer number (224169120).

Almost surely, 2^24799997664 is an apocalyptic number.

24799997664 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 24799997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43040471040).

24799997664 is an abundant number, since it is smaller than the sum of its proper divisors (61280944416).

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

24799997664 is a wasteful number, since it uses less digits than its factorization.

24799997664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5705 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 24799997664 in words is "twenty-four billion, seven hundred ninety-nine million, nine hundred ninety-seven thousand, six hundred sixty-four".