6801964800 has 432 divisors, whose sum is σ = 23857306368. Its totient is φ = 1703116800.

The previous prime is 6801964783. The next prime is 6801964937. The reversal of 6801964800 is 84691086.

It is a super-4 number, since 4×6801964800⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32236695 + ... + 32236905.

Almost surely, 2^6801964800 is an apocalyptic number.

6801964800 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 6801964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928653184).

6801964800 is an abundant number, since it is smaller than the sum of its proper divisors (17055341568).

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

6801964800 is a wasteful number, since it uses less digits than its factorization.

6801964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6801964800 is about 82474.0250018150. The cubic root of 6801964800 is about 1894.7189266662.

The spelling of 6801964800 in words is "six billion, eight hundred one million, nine hundred sixty-four thousand, eight hundred".