6845164057200 has 480 divisors, whose sum is σ = 25250355016704. Its totient is φ = 1552758865920.

The previous prime is 6845164057169. The next prime is 6845164057219. The reversal of 6845164057200 is 27504615486.

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 6845164057200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597981877 + ... + 597993323.

Almost surely, 2^{6845164057200} is an apocalyptic number.

6845164057200 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 6845164057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625177508352).

6845164057200 is an abundant number, since it is smaller than the sum of its proper divisors (18405190959504).

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

6845164057200 is a wasteful number, since it uses less digits than its factorization.

6845164057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 6845164057200 in words is "six trillion, eight hundred forty-five billion, one hundred sixty-four million, fifty-seven thousand, two hundred".