7996581408816 has 640 divisors, whose sum is σ = 30833226547200. Its totient is φ = 1916328637440.

The previous prime is 7996581408773. The next prime is 7996581408833. The reversal of 7996581408816 is 6188041856997.

7996581408816 is a `hidden beast` number, since 7 + 9 + 9 + 65 + 81 + 408 + 81 + 6 = 666.

It is a super-3 number, since 3×7996581408816³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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, 1369509225 + ... + 1369515063.

It is an arithmetic number, because the mean of its divisors is an integer number (48176916480).

Almost surely, 2^{7996581408816} 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 7996581408816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416613273600).

7996581408816 is an abundant number, since it is smaller than the sum of its proper divisors (22836645138384).

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

7996581408816 is a wasteful number, since it uses less digits than its factorization.

7996581408816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 7996581408816 in words is "seven trillion, nine hundred ninety-six billion, five hundred eighty-one million, four hundred eight thousand, eight hundred sixteen".