24768464400 has 405 divisors, whose sum is σ = 89465108967. Its totient is φ = 6345561600.

The previous prime is 24768464393. The next prime is 24768464527. The reversal of 24768464400 is 446486742.

The square root of 24768464400 is 157380.

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

24768464400 is a `hidden beast` number, since 2 + 476 + 84 + 64 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11408803344 + 13359661056 = 106812^2 + 115584^2 .

It is a super-2 number, since 2×24768464400² (a number of 22 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 406040370 + ... + 406040430.

Almost surely, 2^24768464400 is an apocalyptic number.

24768464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24768464400 is the 157380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24768464400

24768464400 is an abundant number, since it is smaller than the sum of its proper divisors (64696644567).

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

24768464400 is a wasteful number, since it uses less digits than its factorization.

24768464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 24768464400 in words is "twenty-four billion, seven hundred sixty-eight million, four hundred sixty-four thousand, four hundred".