6680130400 has 72 divisors (see below), whose sum is σ = 16457696640. Its totient is φ = 2647503360.

The previous prime is 6680130397. The next prime is 6680130407. The reversal of 6680130400 is 40310866.

It is a super-2 number, since 2×6680130400² = 89248284322008320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6680130407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48897 + ... + 125503.

It is an arithmetic number, because the mean of its divisors is an integer number (228579120).

Almost surely, 2^6680130400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228848320).

6680130400 is an abundant number, since it is smaller than the sum of its proper divisors (9777566240).

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

6680130400 is a wasteful number, since it uses less digits than its factorization.

6680130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76736 (or 76723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6680130400 is about 81732.0646992354. The cubic root of 6680130400 is about 1883.3381916148.

The spelling of 6680130400 in words is "six billion, six hundred eighty million, one hundred thirty thousand, four hundred".