6845211375600 has 120 divisors (see below), whose sum is σ = 23614224117232. Its totient is φ = 1684975104000.

The previous prime is 6845211375571. The next prime is 6845211375601. The reversal of 6845211375600 is 65731125486.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6845211375600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845211375601) 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 23 ways as a sum of consecutive naturals, for example, 219382201 + ... + 219413400.

Almost surely, 2^{6845211375600} is an apocalyptic number.

6845211375600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6845211375600 is an abundant number, since it is smaller than the sum of its proper divisors (16769012741632).

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

6845211375600 is a wasteful number, since it uses less digits than its factorization.

6845211375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438795635 (or 438795624 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 6845211375600 in words is "six trillion, eight hundred forty-five billion, two hundred eleven million, three hundred seventy-five thousand, six hundred".