6845087208960 has 5120 divisors, whose sum is σ = 35479329177600. Its totient is φ = 1203948748800.

The previous prime is 6845087208923. The next prime is 6845087208991. The reversal of 6845087208960 is 698027805486.

6845087208960 is a `hidden beast` number, since 6 + 8 + 450 + 87 + 20 + 89 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 53898324417 + ... + 53898324543.

It is an arithmetic number, because the mean of its divisors is an integer number (6929556480).

Almost surely, 2^{6845087208960} is an apocalyptic number.

6845087208960 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 6845087208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739664588800).

6845087208960 is an abundant number, since it is smaller than the sum of its proper divisors (28634241968640).

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

6845087208960 is a wasteful number, since it uses less digits than its factorization.

6845087208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6845087208960 in words is "six trillion, eight hundred forty-five billion, eighty-seven million, two hundred eight thousand, nine hundred sixty".