6846266880 has 320 divisors, whose sum is σ = 24985097280. Its totient is φ = 1775665152.

The previous prime is 6846266813. The next prime is 6846266893. The reversal of 6846266880 is 886626486.

It is a happy number.

6846266880 is a `hidden beast` number, since 6 + 8 + 4 + 626 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2556102 + ... + 2558778.

It is an arithmetic number, because the mean of its divisors is an integer number (78078429).

Almost surely, 2^6846266880 is an apocalyptic number.

6846266880 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 6846266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492548640).

6846266880 is an abundant number, since it is smaller than the sum of its proper divisors (18138830400).

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

6846266880 is a wasteful number, since it uses less digits than its factorization.

6846266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 6846266880 is about 82742.1711100210. The cubic root of 6846266880 is about 1898.8235450198.

The spelling of 6846266880 in words is "six billion, eight hundred forty-six million, two hundred sixty-six thousand, eight hundred eighty".