7860971695104 has 1320 divisors, whose sum is σ = 27771346044000. Its totient is φ = 2130117918720.

The previous prime is 7860971695103. The next prime is 7860971695147. The reversal of 7860971695104 is 4015961790687.

7860971695104 is a `hidden beast` number, since 7 + 8 + 609 + 7 + 1 + 6 + 9 + 5 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (7860971695103) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52758199222 + ... + 52758199370.

Almost surely, 2^{7860971695104} 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 7860971695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885673022000).

7860971695104 is an abundant number, since it is smaller than the sum of its proper divisors (19910374348896).

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

7860971695104 is a wasteful number, since it uses less digits than its factorization.

7860971695104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 7860971695104 in words is "seven trillion, eight hundred sixty billion, nine hundred seventy-one million, six hundred ninety-five thousand, one hundred four".