6686402400 has 432 divisors, whose sum is σ = 25202136960. Its totient is φ = 1664409600.

The previous prime is 6686402389. The next prime is 6686402441. The reversal of 6686402400 is 42046866.

It is a happy number.

6686402400 is a `hidden beast` number, since 6 + 6 + 8 + 640 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6472284 + ... + 6473316.

It is an arithmetic number, because the mean of its divisors is an integer number (58338280).

Almost surely, 2^6686402400 is an apocalyptic number.

6686402400 is a gapful number since it is divisible by the number (60) 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 6686402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601068480).

6686402400 is an abundant number, since it is smaller than the sum of its proper divisors (18515734560).

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

6686402400 is a wasteful number, since it uses less digits than its factorization.

6686402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6686402400 is about 81770.4249713795. The cubic root of 6686402400 is about 1883.9274317187.

The spelling of 6686402400 in words is "six billion, six hundred eighty-six million, four hundred two thousand, four hundred".