4568472806400 has 396 divisors, whose sum is σ = 16379922903552. Its totient is φ = 1216574177280.

The previous prime is 4568472806393. The next prime is 4568472806437. The reversal of 4568472806400 is 46082748654.

It is a happy number.

4568472806400 is a `hidden beast` number, since 4 + 56 + 8 + 472 + 80 + 6 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171173857 + ... + 171200543.

Almost surely, 2^{4568472806400} is an apocalyptic number.

4568472806400 is a gapful number since it is divisible by the number (40) 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 4568472806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189961451776).

4568472806400 is an abundant number, since it is smaller than the sum of its proper divisors (11811450097152).

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

4568472806400 is a wasteful number, since it uses less digits than its factorization.

4568472806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27466 (or 27440 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4568472806400 in words is "four trillion, five hundred sixty-eight billion, four hundred seventy-two million, eight hundred six thousand, four hundred".