4556652800 has 432 divisors, whose sum is σ = 14161093632. Its totient is φ = 1415577600.

The previous prime is 4556652799. The next prime is 4556652803. The reversal of 4556652800 is 82566554.

It is not an unprimeable number, because it can be changed into a prime (4556652803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23609504 + ... + 23609696.

Almost surely, 2^4556652800 is an apocalyptic number.

4556652800 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 4556652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080546816).

4556652800 is an abundant number, since it is smaller than the sum of its proper divisors (9604440832).

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

4556652800 is a wasteful number, since it uses less digits than its factorization.

4556652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 4556652800 is about 67502.9836377623. The cubic root of 4556652800 is about 1657.8630265416.

The spelling of 4556652800 in words is "four billion, five hundred fifty-six million, six hundred fifty-two thousand, eight hundred".