7917981071616 has 2160 divisors, whose sum is σ = 32797251793152. Its totient is φ = 1849876807680.

The previous prime is 7917981071597. The next prime is 7917981071617. The reversal of 7917981071616 is 6161701897197.

7917981071616 is a `hidden beast` number, since 7 + 9 + 1 + 7 + 9 + 8 + 1 + 0 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7917981071617) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6867285696 + ... + 6867286848.

Almost surely, 2^{7917981071616} 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 7917981071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398625896576).

7917981071616 is an abundant number, since it is smaller than the sum of its proper divisors (24879270721536).

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

7917981071616 is a wasteful number, since it uses less digits than its factorization.

7917981071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 63.

The spelling of 7917981071616 in words is "seven trillion, nine hundred seventeen billion, nine hundred eighty-one million, seventy-one thousand, six hundred sixteen".