6850432972800 has 432 divisors, whose sum is σ = 25325247205440. Its totient is φ = 1767849984000.

The previous prime is 6850432972759. The next prime is 6850432972807. The reversal of 6850432972800 is 82792340586.

6850432972800 is a `hidden beast` number, since 68 + 5 + 0 + 432 + 9 + 72 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850432972807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14045020 + ... + 14524580.

It is an arithmetic number, because the mean of its divisors is an integer number (58623257420).

Almost surely, 2^{6850432972800} is an apocalyptic number.

6850432972800 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 6850432972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662623602720).

6850432972800 is an abundant number, since it is smaller than the sum of its proper divisors (18474814232640).

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

6850432972800 is a wasteful number, since it uses less digits than its factorization.

6850432972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479630 (or 479602 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6850432972800 in words is "six trillion, eight hundred fifty billion, four hundred thirty-two million, nine hundred seventy-two thousand, eight hundred".