6756597120 has 256 divisors, whose sum is σ = 26507335680. Its totient is φ = 1425530880.

The previous prime is 6756597083. The next prime is 6756597137. The reversal of 6756597120 is 217956576.

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 6756597120.

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, 155385 + ... + 194055.

It is an arithmetic number, because the mean of its divisors is an integer number (103544280).

Almost surely, 2^6756597120 is an apocalyptic number.

6756597120 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 6756597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253667840).

6756597120 is an abundant number, since it is smaller than the sum of its proper divisors (19750738560).

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

6756597120 is a wasteful number, since it uses less digits than its factorization.

6756597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38713 (or 38701 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 6756597120 is about 82198.5226144607. The cubic root of 6756597120 is about 1890.4970669875.

The spelling of 6756597120 in words is "six billion, seven hundred fifty-six million, five hundred ninety-seven thousand, one hundred twenty".