4605652800 has 252 divisors, whose sum is σ = 18708498016. Its totient is φ = 1052697600.

The previous prime is 4605652783. The next prime is 4605652813. The reversal of 4605652800 is 82565064.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77955 + ... + 123645.

Almost surely, 2^4605652800 is an apocalyptic number.

4605652800 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 4605652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354249008).

4605652800 is an abundant number, since it is smaller than the sum of its proper divisors (14102845216).

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

4605652800 is a wasteful number, since it uses less digits than its factorization.

4605652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45726 (or 45708 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4605652800 is about 67864.9600309320. The cubic root of 4605652800 is about 1663.7844657349.

The spelling of 4605652800 in words is "four billion, six hundred five million, six hundred fifty-two thousand, eight hundred".