6557900800 has 336 divisors, whose sum is σ = 18429695424. Its totient is φ = 2293760000.

The previous prime is 6557900777. The next prime is 6557900809. The reversal of 6557900800 is 80097556.

It is a happy number.

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 (6557900809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92364765 + ... + 92364835.

It is an arithmetic number, because the mean of its divisors is an integer number (54850284).

Almost surely, 2^6557900800 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 6557900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214847712).

6557900800 is an abundant number, since it is smaller than the sum of its proper divisors (11871794624).

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

6557900800 is a wasteful number, since it uses less digits than its factorization.

6557900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 6557900800 is about 80980.8668760714. The cubic root of 6557900800 is about 1871.7806254242.

The spelling of 6557900800 in words is "six billion, five hundred fifty-seven million, nine hundred thousand, eight hundred".