5673579600 has 120 divisors (see below), whose sum is σ = 19572448672. Its totient is φ = 1396569600.

The previous prime is 5673579589. The next prime is 5673579617. The reversal of 5673579600 is 69753765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5673579600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166246 + ... + 197445.

Almost surely, 2^5673579600 is an apocalyptic number.

5673579600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5673579600 is an abundant number, since it is smaller than the sum of its proper divisors (13898869072).

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

5673579600 is a wasteful number, since it uses less digits than its factorization.

5673579600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363725 (or 363714 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The square root of 5673579600 is about 75323.1677506994. The cubic root of 5673579600 is about 1783.5517602041.

The spelling of 5673579600 in words is "five billion, six hundred seventy-three million, five hundred seventy-nine thousand, six hundred".