8400668600 has 96 divisors (see below), whose sum is σ = 19780787520. Its totient is φ = 3317637120.

The previous prime is 8400668587. The next prime is 8400668621. The reversal of 8400668600 is 68660048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7615649 + ... + 7616751.

It is an arithmetic number, because the mean of its divisors is an integer number (206049870).

Almost surely, 2^8400668600 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 8400668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890393760).

8400668600 is an abundant number, since it is smaller than the sum of its proper divisors (11380118920).

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

8400668600 is a wasteful number, since it uses less digits than its factorization.

8400668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 8400668600 is about 91655.1613385738. The cubic root of 8400668600 is about 2032.8466457388.

The spelling of 8400668600 in words is "eight billion, four hundred million, six hundred sixty-eight thousand, six hundred".