6849765120 has 288 divisors, whose sum is σ = 25271688960. Its totient is φ = 1562705920.

The previous prime is 6849765049. The next prime is 6849765121. The reversal of 6849765120 is 215679486.

It is a super-2 number, since 2×6849765120² = 93838564398337228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6849765120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849765121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713311 + ... + 722849.

It is an arithmetic number, because the mean of its divisors is an integer number (87748920).

Almost surely, 2^6849765120 is an apocalyptic number.

6849765120 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 6849765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635844480).

6849765120 is an abundant number, since it is smaller than the sum of its proper divisors (18421923840).

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

6849765120 is a wasteful number, since it uses less digits than its factorization.

6849765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 6849765120 is about 82763.3078120975. The cubic root of 6849765120 is about 1899.1469041845.

It can be divided in two parts, 684976 and 5120, that added together give a palindrome (690096).

The spelling of 6849765120 in words is "six billion, eight hundred forty-nine million, seven hundred sixty-five thousand, one hundred twenty".