4556505600 has 360 divisors, whose sum is σ = 16762857540. Its totient is φ = 1181122560.

The previous prime is 4556505589. The next prime is 4556505601. The reversal of 4556505600 is 65056554.

It is a happy number.

4556505600 is a `hidden beast` number, since 4 + 556 + 50 + 56 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2593661184 + 1962844416 = 50928^2 + 44304^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4556505601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4261866 + ... + 4262934.

Almost surely, 2^4556505600 is an apocalyptic number.

4556505600 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 4556505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381428770).

4556505600 is an abundant number, since it is smaller than the sum of its proper divisors (12206351940).

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

4556505600 is a wasteful number, since it uses less digits than its factorization.

4556505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 4556505600 is about 67501.8933067807. The cubic root of 4556505600 is about 1657.8451742513.

The spelling of 4556505600 in words is "four billion, five hundred fifty-six million, five hundred five thousand, six hundred".