7998081971616 has 480 divisors, whose sum is σ = 25781412888000. Its totient is φ = 2412276940800.

The previous prime is 7998081971603. The next prime is 7998081971651. The reversal of 7998081971616 is 6161791808997.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9119819370 + ... + 9119820246.

It is an arithmetic number, because the mean of its divisors is an integer number (53711276850).

Almost surely, 2^{7998081971616} 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 7998081971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890706444000).

7998081971616 is an abundant number, since it is smaller than the sum of its proper divisors (17783330916384).

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

7998081971616 is a wasteful number, since it uses less digits than its factorization.

7998081971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 7998081971616 in words is "seven trillion, nine hundred ninety-eight billion, eighty-one million, nine hundred seventy-one thousand, six hundred sixteen".