6893131424256 has 1440 divisors, whose sum is σ = 26428508181504. Its totient is φ = 1677083443200.

The previous prime is 6893131424243. The next prime is 6893131424261. The reversal of 6893131424256 is 6524241313986.

It is a happy number.

6893131424256 is a `hidden beast` number, since 6 + 8 + 9 + 31 + 314 + 242 + 56 = 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 143 ways as a sum of consecutive naturals, for example, 30366217615 + ... + 30366217841.

Almost surely, 2^{6893131424256} is an apocalyptic number.

6893131424256 is a gapful number since it is divisible by the number (66) 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 6893131424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214254090752).

6893131424256 is an abundant number, since it is smaller than the sum of its proper divisors (19535376757248).

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

6893131424256 is a wasteful number, since it uses less digits than its factorization.

6893131424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 334 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 6893131424256 in words is "six trillion, eight hundred ninety-three billion, one hundred thirty-one million, four hundred twenty-four thousand, two hundred fifty-six".