6573920800 has 72 divisors (see below), whose sum is σ = 16196033700. Its totient is φ = 2605409280.

The previous prime is 6573920783. The next prime is 6573920803. The reversal of 6573920800 is 80293756.

It can be written as a sum of positive squares in 6 ways, for example, as 2058618384 + 4515302416 = 45372^2 + 67196^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6573920803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49506 + ... + 124894.

Almost surely, 2^6573920800 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 6573920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098016850).

6573920800 is an abundant number, since it is smaller than the sum of its proper divisors (9622112900).

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

6573920800 is a wasteful number, since it uses less digits than its factorization.

6573920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75518 (or 75505 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 6573920800 is about 81079.7187957630. The cubic root of 6573920800 is about 1873.3035488173.

The spelling of 6573920800 in words is "six billion, five hundred seventy-three million, nine hundred twenty thousand, eight hundred".