6783975120 has 640 divisors, whose sum is σ = 25702354944. Its totient is φ = 1463058432.

The previous prime is 6783975113. The next prime is 6783975139. The reversal of 6783975120 is 215793876.

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 6783975120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81734599 + ... + 81734681.

Almost surely, 2^6783975120 is an apocalyptic number.

6783975120 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 6783975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851177472).

6783975120 is an abundant number, since it is smaller than the sum of its proper divisors (18918379824).

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

6783975120 is a wasteful number, since it uses less digits than its factorization.

6783975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 6783975120 is about 82364.8900928059. The cubic root of 6783975120 is about 1893.0470822394.

The spelling of 6783975120 in words is "six billion, seven hundred eighty-three million, nine hundred seventy-five thousand, one hundred twenty".