6500572800 has 384 divisors, whose sum is σ = 22766400000. Its totient is φ = 1626746880.

The previous prime is 6500572781. The next prime is 6500572817. The reversal of 6500572800 is 82750056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13026951 + ... + 13027449.

It is an arithmetic number, because the mean of its divisors is an integer number (59287500).

Almost surely, 2^6500572800 is an apocalyptic number.

6500572800 is a gapful number since it is divisible by the number (60) 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 6500572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200000).

6500572800 is an abundant number, since it is smaller than the sum of its proper divisors (16265827200).

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

6500572800 is a wasteful number, since it uses less digits than its factorization.

6500572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 6500572800 is about 80626.1297595265. The cubic root of 6500572800 is about 1866.3103968597.

The spelling of 6500572800 in words is "six billion, five hundred million, five hundred seventy-two thousand, eight hundred".