6904808064 has 672 divisors, whose sum is σ = 26569343520. Its totient is φ = 1735603200.

The previous prime is 6904808063. The next prime is 6904808101. The reversal of 6904808064 is 4608084096.

It is a happy number.

6904808064 is a `hidden beast` number, since 6 + 90 + 480 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6904808063) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 222735729 + ... + 222735759.

Almost surely, 2^6904808064 is an apocalyptic number.

6904808064 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 6904808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284671760).

6904808064 is an abundant number, since it is smaller than the sum of its proper divisors (19664535456).

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

6904808064 is an equidigital number, since it uses as much as digits as its factorization.

6904808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6904808064 is about 83095.1747335548. The cubic root of 6904808064 is about 1904.2203567669.

The spelling of 6904808064 in words is "six billion, nine hundred four million, eight hundred eight thousand, sixty-four".