7996085717760 has 1152 divisors, whose sum is σ = 33544822456320. Its totient is φ = 1765015142400.

The previous prime is 7996085717759. The next prime is 7996085717801. The reversal of 7996085717760 is 677175806997.

7996085717760 is a `hidden beast` number, since 7 + 9 + 9 + 608 + 5 + 7 + 1 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 5182167549 + ... + 5182169091.

Almost surely, 2^{7996085717760} is an apocalyptic number.

7996085717760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7996085717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772411228160).

7996085717760 is an abundant number, since it is smaller than the sum of its proper divisors (25548736738560).

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

7996085717760 is a wasteful number, since it uses less digits than its factorization.

7996085717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 7996085717760 in words is "seven trillion, nine hundred ninety-six billion, eighty-five million, seven hundred seventeen thousand, seven hundred sixty".