6850625144832 has 768 divisors, whose sum is σ = 24861569241600. Its totient is φ = 1842041585664.

The previous prime is 6850625144789. The next prime is 6850625144833. The reversal of 6850625144832 is 2384415260586.

6850625144832 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 625 + 1 + 4 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6850625144833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532991718 + ... + 533004570.

It is an arithmetic number, because the mean of its divisors is an integer number (32371834950).

Almost surely, 2^{6850625144832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6850625144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430784620800).

6850625144832 is an abundant number, since it is smaller than the sum of its proper divisors (18010944096768).

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

6850625144832 is an equidigital number, since it uses as much as digits as its factorization.

6850625144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 6850625144832 in words is "six trillion, eight hundred fifty billion, six hundred twenty-five million, one hundred forty-four thousand, eight hundred thirty-two".