4645603600 has 240 divisors, whose sum is σ = 13002560640. Its totient is φ = 1576345600.

The previous prime is 4645603597. The next prime is 4645603601. The reversal of 4645603600 is 63065464.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (4645603601) 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, 12940221 + ... + 12940579.

It is an arithmetic number, because the mean of its divisors is an integer number (54177336).

Almost surely, 2^4645603600 is an apocalyptic number.

4645603600 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 4645603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501280320).

4645603600 is an abundant number, since it is smaller than the sum of its proper divisors (8356957040).

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

4645603600 is a wasteful number, since it uses less digits than its factorization.

4645603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 4645603600 is about 68158.6648930274. The cubic root of 4645603600 is about 1668.5813426783.

The spelling of 4645603600 in words is "four billion, six hundred forty-five million, six hundred three thousand, six hundred".