24960536640 has 896 divisors, whose sum is σ = 100364544000. Its totient is φ = 5796790272.

The previous prime is 24960536639. The next prime is 24960536687. The reversal of 24960536640 is 4663506942.

24960536640 is a `hidden beast` number, since 2 + 4 + 9 + 605 + 36 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257325072 + ... + 257325168.

It is an arithmetic number, because the mean of its divisors is an integer number (112014000).

Almost surely, 2^24960536640 is an apocalyptic number.

24960536640 is a gapful number since it is divisible by the number (20) 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 24960536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182272000).

24960536640 is an abundant number, since it is smaller than the sum of its proper divisors (75404007360).

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

24960536640 is a wasteful number, since it uses less digits than its factorization.

24960536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 24960536640 in words is "twenty-four billion, nine hundred sixty million, five hundred thirty-six thousand, six hundred forty".