6845380295040 has 1536 divisors, whose sum is σ = 29820900695040. Its totient is φ = 1464804311040.

The previous prime is 6845380294979. The next prime is 6845380295063. The reversal of 6845380295040 is 405920835486.

6845380295040 is a `hidden beast` number, since 6 + 8 + 4 + 53 + 80 + 2 + 9 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3904950804 + ... + 3904952556.

It is an arithmetic number, because the mean of its divisors is an integer number (19414648890).

Almost surely, 2^{6845380295040} is an apocalyptic number.

6845380295040 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 6845380295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910450347520).

6845380295040 is an abundant number, since it is smaller than the sum of its proper divisors (22975520400000).

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

6845380295040 is a wasteful number, since it uses less digits than its factorization.

6845380295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 6845380295040 in words is "six trillion, eight hundred forty-five billion, three hundred eighty million, two hundred ninety-five thousand, forty".