6860642000 has 80 divisors (see below), whose sum is σ = 16638258000. Its totient is φ = 2736115200.

The previous prime is 6860641987. The next prime is 6860642059. The reversal of 6860642000 is 2460686.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 397125184 + 6463516816 = 19928^2 + 80396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693086 + ... + 702914.

It is an arithmetic number, because the mean of its divisors is an integer number (207978225).

Almost surely, 2^6860642000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6860642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319129000).

6860642000 is an abundant number, since it is smaller than the sum of its proper divisors (9777616000).

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

6860642000 is a wasteful number, since it uses less digits than its factorization.

6860642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 6860642000 is about 82828.9925086621. The cubic root of 6860642000 is about 1900.1516037848.

The spelling of 6860642000 in words is "six billion, eight hundred sixty million, six hundred forty-two thousand".