6845808033792 has 960 divisors, whose sum is σ = 25133851330560. Its totient is φ = 1793225392128.

The previous prime is 6845808033761. The next prime is 6845808033817. The reversal of 6845808033792 is 2973308085486.

6845808033792 is a `hidden beast` number, since 6 + 8 + 458 + 0 + 80 + 33 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6964198933 + ... + 6964199915.

It is an arithmetic number, because the mean of its divisors is an integer number (26181095136).

Almost surely, 2^{6845808033792} 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 6845808033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566925665280).

6845808033792 is an abundant number, since it is smaller than the sum of its proper divisors (18288043296768).

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

6845808033792 is a wasteful number, since it uses less digits than its factorization.

6845808033792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6845808033792 in words is "six trillion, eight hundred forty-five billion, eight hundred eight million, thirty-three thousand, seven hundred ninety-two".