5673628800 has 960 divisors, whose sum is σ = 24792609600. Its totient is φ = 1250795520.

The previous prime is 5673628789. The next prime is 5673628801. The reversal of 5673628800 is 88263765.

5673628800 is a `hidden beast` number, since 567 + 3 + 6 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (5673628801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96163171 + ... + 96163229.

It is an arithmetic number, because the mean of its divisors is an integer number (25825635).

Almost surely, 2^5673628800 is an apocalyptic number.

5673628800 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 5673628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396304800).

5673628800 is an abundant number, since it is smaller than the sum of its proper divisors (19118980800).

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

5673628800 is a wasteful number, since it uses less digits than its factorization.

5673628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5673628800 is about 75323.4943427348. The cubic root of 5673628800 is about 1783.5569157084.

It can be divided in two parts, 567 and 3628800, that multiplied together give a square (2057529600 = 45360²).

The spelling of 5673628800 in words is "five billion, six hundred seventy-three million, six hundred twenty-eight thousand, eight hundred".