6682474598400 has 780 divisors, whose sum is σ = 24901913634972. Its totient is φ = 1771312250880.

The previous prime is 6682474598399. The next prime is 6682474598417. The reversal of 6682474598400 is 48954742866.

6682474598400 is a `hidden beast` number, since 6 + 6 + 82 + 474 + 5 + 9 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 91794456576 + 6590680141824 = 302976^2 + 2567232^2 .

It is a super-2 number, since 2×6682474598400² (a number of 26 digits) 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 59 ways as a sum of consecutive naturals, for example, 1434928872 + ... + 1434933528.

Almost surely, 2^{6682474598400} is an apocalyptic number.

6682474598400 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 6682474598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450956817486).

6682474598400 is an abundant number, since it is smaller than the sum of its proper divisors (18219439036572).

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

6682474598400 is a wasteful number, since it uses less digits than its factorization.

6682474598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 6682474598400 in words is "six trillion, six hundred eighty-two billion, four hundred seventy-four million, five hundred ninety-eight thousand, four hundred".