6859665120 has 384 divisors, whose sum is σ = 27813445632. Its totient is φ = 1379174400.

The previous prime is 6859665073. The next prime is 6859665139. The reversal of 6859665120 is 215669586.

It is a super-2 number, since 2×6859665120² = 94110011117089228800, 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 6859665120.

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 63 ways as a sum of consecutive naturals, for example, 1142767 + ... + 1148753.

It is an arithmetic number, because the mean of its divisors is an integer number (72430848).

Almost surely, 2^6859665120 is an apocalyptic number.

6859665120 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 6859665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906722816).

6859665120 is an abundant number, since it is smaller than the sum of its proper divisors (20953780512).

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

6859665120 is a wasteful number, since it uses less digits than its factorization.

6859665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 6859665120 is about 82823.0953297448. The cubic root of 6859665120 is about 1900.0614126041.

The spelling of 6859665120 in words is "six billion, eight hundred fifty-nine million, six hundred sixty-five thousand, one hundred twenty".