4645785600 has 351 divisors, whose sum is σ = 16877874949. Its totient is φ = 1221427200.

The previous prime is 4645785569. The next prime is 4645785607. The reversal of 4645785600 is 65875464.

The square root of 4645785600 is 68160.

It is a perfect power (a square), and thus also a powerful number.

4645785600 is a `hidden beast` number, since 46 + 45 + 7 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1672482816 + 2973302784 = 40896^2 + 54528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4645785607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65433565 + ... + 65433635.

Almost surely, 2^4645785600 is an apocalyptic number.

4645785600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4645785600 is the 68160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4645785600

4645785600 is an abundant number, since it is smaller than the sum of its proper divisors (12232089349).

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

4645785600 is an equidigital number, since it uses as much as digits as its factorization.

4645785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The cubic root of 4645785600 is about 1668.6031323002.

The spelling of 4645785600 in words is "four billion, six hundred forty-five million, seven hundred eighty-five thousand, six hundred".