6579707904 has 672 divisors, whose sum is σ = 25353020160. Its totient is φ = 1592524800.

The previous prime is 6579707873. The next prime is 6579707917. The reversal of 6579707904 is 4097079756.

It is a happy number.

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

It is a super-2 number, since 2×6579707904² = 86585112203920146432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107864034 + ... + 107864094.

Almost surely, 2^6579707904 is an apocalyptic number.

6579707904 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 6579707904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676510080).

6579707904 is an abundant number, since it is smaller than the sum of its proper divisors (18773312256).

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

6579707904 is a wasteful number, since it uses less digits than its factorization.

6579707904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 6579707904 is about 81115.3986860695. The cubic root of 6579707904 is about 1873.8530850423.

The spelling of 6579707904 in words is "six billion, five hundred seventy-nine million, seven hundred seven thousand, nine hundred four".