6861070336000 has 136 divisors (see below), whose sum is σ = 17125121350584. Its totient is φ = 2744424857600.

The previous prime is 6861070335989. The next prime is 6861070336013. The reversal of 6861070336000 is 6330701686.

It can be written as a sum of positive squares in 4 ways, for example, as 14600372224 + 6846469963776 = 120832^2 + 2616576^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 7773234 + ... + 8610766.

Almost surely, 2^{6861070336000} 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 6861070336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562560675292).

6861070336000 is an abundant number, since it is smaller than the sum of its proper divisors (10264051014584).

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

6861070336000 is an frugal number, since it uses more digits than its factorization.

6861070336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837580 (or 837540 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 6861070336000 in words is "six trillion, eight hundred sixty-one billion, seventy million, three hundred thirty-six thousand".