6024864400 has 45 divisors (see below), whose sum is σ = 14478467323. Its totient is φ = 2409324800.

The previous prime is 6024864389. The next prime is 6024864403. The reversal of 6024864400 is 44684206.

It is a happy number.

The square root of 6024864400 is 77620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 6024243456 = 788^2 + 77616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6024864403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1550460 + ... + 1554340.

Almost surely, 2^6024864400 is an apocalyptic number.

6024864400 is the 77620-th square number.

It is an amenable number.

6024864400 is an abundant number, since it is smaller than the sum of its proper divisors (8453602923).

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

6024864400 is an frugal number, since it uses more digits than its factorization.

6024864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The cubic root of 6024864400 is about 1819.6272230926.

Multiplying 6024864400 by its product of nonzero digits (36864), we get a square (222100601241600 = 14903040²).

The spelling of 6024864400 in words is "six billion, twenty-four million, eight hundred sixty-four thousand, four hundred".