6859649280 has 288 divisors, whose sum is σ = 24031945728. Its totient is φ = 1653760000.

The previous prime is 6859649273. The next prime is 6859649323. The reversal of 6859649280 is 829469586.

It is a self number, because there is not a number n which added to its sum of digits gives 6859649280.

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, 10601917 + ... + 10602563.

It is an arithmetic number, because the mean of its divisors is an integer number (83444256).

Almost surely, 2^6859649280 is an apocalyptic number.

6859649280 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 6859649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015972864).

6859649280 is an abundant number, since it is smaller than the sum of its proper divisors (17172296448).

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

6859649280 is a wasteful number, since it uses less digits than its factorization.

6859649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The square root of 6859649280 is about 82822.9997041884. Note that the first 3 decimals coincide. The cubic root of 6859649280 is about 1900.0599500936.

The spelling of 6859649280 in words is "six billion, eight hundred fifty-nine million, six hundred forty-nine thousand, two hundred eighty".