4566978624 has 448 divisors, whose sum is σ = 14747443200. Its totient is φ = 1233543168.

The previous prime is 4566978569. The next prime is 4566978629. The reversal of 4566978624 is 4268796654.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (17418240) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4566978629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57809817 + ... + 57809895.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^4566978624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4566978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

4566978624 is an abundant number, since it is smaller than the sum of its proper divisors (10180464576).

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

4566978624 is a wasteful number, since it uses less digits than its factorization.

4566978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 4566978624 is about 67579.4245610304. The cubic root of 4566978624 is about 1659.1143754206.

The spelling of 4566978624 in words is "four billion, five hundred sixty-six million, nine hundred seventy-eight thousand, six hundred twenty-four".