6861539256 has 384 divisors, whose sum is σ = 21604423680. Its totient is φ = 1812096000.

The previous prime is 6861539249. The next prime is 6861539257. The reversal of 6861539256 is 6529351686.

It is a junction number, because it is equal to n+sod(n) for n = 6861539199 and 6861539208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6861539257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167354596 + ... + 167354636.

It is an arithmetic number, because the mean of its divisors is an integer number (56261520).

Almost surely, 2^6861539256 is an apocalyptic number.

6861539256 is a gapful number since it is divisible by the number (66) 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 6861539256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802211840).

6861539256 is an abundant number, since it is smaller than the sum of its proper divisors (14742884424).

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

6861539256 is a wasteful number, since it uses less digits than its factorization.

6861539256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 6861539256 is about 82834.4086476145. The cubic root of 6861539256 is about 1900.2344360770.

The spelling of 6861539256 in words is "six billion, eight hundred sixty-one million, five hundred thirty-nine thousand, two hundred fifty-six".