24980364000 has 576 divisors, whose sum is σ = 95056416000. Its totient is φ = 6193843200.

The previous prime is 24980363999. The next prime is 24980364007. The reversal of 24980364000 is 46308942.

It is a happy number.

24980364000 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 0 + 3 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24980364007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40355691 + ... + 40356309.

It is an arithmetic number, because the mean of its divisors is an integer number (165028500).

Almost surely, 2^24980364000 is an apocalyptic number.

24980364000 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 24980364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208000).

24980364000 is an abundant number, since it is smaller than the sum of its proper divisors (70076052000).

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

24980364000 is a wasteful number, since it uses less digits than its factorization.

24980364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 24980364000 in words is "twenty-four billion, nine hundred eighty million, three hundred sixty-four thousand".