6404872800 has 216 divisors, whose sum is σ = 21549823848. Its totient is φ = 1652275200.

The previous prime is 6404872741. The next prime is 6404872819. The reversal of 6404872800 is 82784046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2305012 + ... + 2307788.

It is an arithmetic number, because the mean of its divisors is an integer number (99767703).

Almost surely, 2^6404872800 is an apocalyptic number.

6404872800 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 6404872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774911924).

6404872800 is an abundant number, since it is smaller than the sum of its proper divisors (15144951048).

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

6404872800 is a wasteful number, since it uses less digits than its factorization.

6404872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 6404872800 is about 80030.4492052869. The cubic root of 6404872800 is about 1857.1066125358.

The spelling of 6404872800 in words is "six billion, four hundred four million, eight hundred seventy-two thousand, eight hundred".