6844960920 has 192 divisors, whose sum is σ = 25293034080. Its totient is φ = 1472507904.

The previous prime is 6844960901. The next prime is 6844960943. The reversal of 6844960920 is 290694486.

It is a super-4 number, since 4×6844960920⁴ (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6844960920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65722 + ... + 134198.

Almost surely, 2^6844960920 is an apocalyptic number.

6844960920 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 6844960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646517040).

6844960920 is an abundant number, since it is smaller than the sum of its proper divisors (18448073160).

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

6844960920 is a wasteful number, since it uses less digits than its factorization.

6844960920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68522 (or 68511 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 6844960920 is about 82734.2789900293. The cubic root of 6844960920 is about 1898.7028006134.

The spelling of 6844960920 in words is "six billion, eight hundred forty-four million, nine hundred sixty thousand, nine hundred twenty".