6840172800 has 324 divisors, whose sum is σ = 24650180100. Its totient is φ = 1809530880.

The previous prime is 6840172769. The next prime is 6840172849. The reversal of 6840172800 is 82710486.

It can be written as a sum of positive squares in 6 ways, for example, as 882802944 + 5957369856 = 29712^2 + 77184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8582002 + ... + 8582798.

Almost surely, 2^6840172800 is an apocalyptic number.

6840172800 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 6840172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325090050).

6840172800 is an abundant number, since it is smaller than the sum of its proper divisors (17810007300).

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

6840172800 is a wasteful number, since it uses less digits than its factorization.

6840172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6840172800 is about 82705.3371917436. The cubic root of 6840172800 is about 1898.2599766838.

The spelling of 6840172800 in words is "six billion, eight hundred forty million, one hundred seventy-two thousand, eight hundred".