6379980800 has 108 divisors (see below), whose sum is σ = 15863428035. Its totient is φ = 2544762880.

The previous prime is 6379980799. The next prime is 6379980851. The reversal of 6379980800 is 80899736.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1738556416 + 4641424384 = 41696^2 + 68128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=56480.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18073424 + ... + 18073776.

Almost surely, 2^6379980800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6379980800

6379980800 is an abundant number, since it is smaller than the sum of its proper divisors (9483447235).

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

6379980800 is an frugal number, since it uses more digits than its factorization.

6379980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 6379980800 is about 79874.7820028324. The cubic root of 6379980800 is about 1854.6976594990.

Multiplying 6379980800 by its sum of digits (50), we get a square (318999040000 = 564800²).

6379980800 divided by its sum of digits (50) gives a square (127599616 = 11296²).

The spelling of 6379980800 in words is "six billion, three hundred seventy-nine million, nine hundred eighty thousand, eight hundred".