4566496800 has 144 divisors (see below), whose sum is σ = 15209964000. Its totient is φ = 1189386240.

The previous prime is 4566496799. The next prime is 4566496937. The reversal of 4566496800 is 86946654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4566496800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81076 + ... + 125324.

It is an arithmetic number, because the mean of its divisors is an integer number (105624750).

Almost surely, 2^4566496800 is an apocalyptic number.

4566496800 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 4566496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604982000).

4566496800 is an abundant number, since it is smaller than the sum of its proper divisors (10643467200).

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

4566496800 is a wasteful number, since it uses less digits than its factorization.

4566496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44315 (or 44302 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 4566496800 is about 67575.8595949767. The cubic root of 4566496800 is about 1659.0560269073.

The spelling of 4566496800 in words is "four billion, five hundred sixty-six million, four hundred ninety-six thousand, eight hundred".