24963368004 has 81 divisors (see below), whose sum is σ = 67075368087. Its totient is φ = 7826588928.

The previous prime is 24963367981. The next prime is 24963368039. The reversal of 24963368004 is 40086336942.

The square root of 24963368004 is 157998.

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

24963368004 is a `hidden beast` number, since 2 + 4 + 9 + 633 + 6 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424772100 + 24538595904 = 20610^2 + 156648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16115022 + ... + 16116570.

Almost surely, 2^24963368004 is an apocalyptic number.

24963368004 is the 157998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24963368004

24963368004 is an abundant number, since it is smaller than the sum of its proper divisors (42112000083).

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

24963368004 is a wasteful number, since it uses less digits than its factorization.

24963368004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 24963368004 in words is "twenty-four billion, nine hundred sixty-three million, three hundred sixty-eight thousand, four".