6804908457984 has 2880 divisors, whose sum is σ = 28114400563200. Its totient is φ = 1605264998400.

The previous prime is 6804908457931. The next prime is 6804908457989. The reversal of 6804908457984 is 4897548094086.

6804908457984 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 90 + 8 + 457 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804908457989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165973377004 + ... + 165973377044.

It is an arithmetic number, because the mean of its divisors is an integer number (9761944640).

Almost surely, 2^{6804908457984} is an apocalyptic number.

6804908457984 is a gapful number since it is divisible by the number (64) 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 6804908457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057200281600).

6804908457984 is an abundant number, since it is smaller than the sum of its proper divisors (21309492105216).

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

6804908457984 is a wasteful number, since it uses less digits than its factorization.

6804908457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 6804908457984 in words is "six trillion, eight hundred four billion, nine hundred eight million, four hundred fifty-seven thousand, nine hundred eighty-four".