6974213198400 has 2268 divisors, whose sum is σ = 31984249984128. Its totient is φ = 1434137886720.

The previous prime is 6974213198399. The next prime is 6974213198413. The reversal of 6974213198400 is 48913124796.

6974213198400 is a `hidden beast` number, since 6 + 9 + 7 + 4 + 213 + 19 + 8 + 400 = 666.

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 323 ways as a sum of consecutive naturals, for example, 4690122457 + ... + 4690123943.

Almost surely, 2^{6974213198400} is an apocalyptic number.

6974213198400 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 6974213198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992124992064).

6974213198400 is an abundant number, since it is smaller than the sum of its proper divisors (25010036785728).

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

6974213198400 is a wasteful number, since it uses less digits than its factorization.

6974213198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 6974213198400 in words is "six trillion, nine hundred seventy-four billion, two hundred thirteen million, one hundred ninety-eight thousand, four hundred".