6696082598400 has 1200 divisors, whose sum is σ = 26944287267744. Its totient is φ = 1632510443520.

The previous prime is 6696082598369. The next prime is 6696082598417. The reversal of 6696082598400 is 48952806966.

6696082598400 is a `hidden beast` number, since 6 + 6 + 9 + 60 + 82 + 5 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1442186479 + ... + 1442191121.

Almost surely, 2^{6696082598400} is an apocalyptic number.

6696082598400 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 6696082598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472143633872).

6696082598400 is an abundant number, since it is smaller than the sum of its proper divisors (20248204669344).

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

6696082598400 is a wasteful number, since it uses less digits than its factorization.

6696082598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6696082598400 in words is "six trillion, six hundred ninety-six billion, eighty-two million, five hundred ninety-eight thousand, four hundred".