5676652800 has 1296 divisors, whose sum is σ = 27038686080. Its totient is φ = 1134673920.

The previous prime is 5676652799. The next prime is 5676652853. The reversal of 5676652800 is 82566765.

5676652800 is a `hidden beast` number, since 5 + 67 + 66 + 528 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298771191 + ... + 298771209.

Almost surely, 2^5676652800 is an apocalyptic number.

5676652800 is a gapful number since it is divisible by the number (50) 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 5676652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519343040).

5676652800 is an abundant number, since it is smaller than the sum of its proper divisors (21362033280).

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

5676652800 is a wasteful number, since it uses less digits than its factorization.

5676652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5676652800 is about 75343.5650868739. The cubic root of 5676652800 is about 1783.8737334136.

The spelling of 5676652800 in words is "five billion, six hundred seventy-six million, six hundred fifty-two thousand, eight hundred".