6860000273616 has 480 divisors, whose sum is σ = 23079960288000. Its totient is φ = 1945129697280.

The previous prime is 6860000273611. The next prime is 6860000273653. The reversal of 6860000273616 is 6163720000686.

6860000273616 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 0 + 0 + 0 + 27 + 3 + 616 = 666.

It is a super-3 number, since 3×6860000273616³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860000273611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1823981176 + ... + 1823984936.

It is an arithmetic number, because the mean of its divisors is an integer number (48083250600).

Almost surely, 2^{6860000273616} 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 6860000273616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539980144000).

6860000273616 is an abundant number, since it is smaller than the sum of its proper divisors (16219960014384).

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

6860000273616 is a wasteful number, since it uses less digits than its factorization.

6860000273616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6860000273616 in words is "six trillion, eight hundred sixty billion, two hundred seventy-three thousand, six hundred sixteen".