7996009646880 has 480 divisors, whose sum is σ = 29900225900160. Its totient is φ = 2005429985280.

The previous prime is 7996009646879. The next prime is 7996009646881. The reversal of 7996009646880 is 886469006997.

7996009646880 is a `hidden beast` number, since 7 + 9 + 9 + 600 + 9 + 6 + 4 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7996009646879) and next prime (7996009646881).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7996009646799 and 7996009646808.

It is not an unprimeable number, because it can be changed into a prime (7996009646881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332891511 + ... + 332915529.

It is an arithmetic number, because the mean of its divisors is an integer number (62292137292).

Almost surely, 2^{7996009646880} 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 7996009646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950112950080).

7996009646880 is an abundant number, since it is smaller than the sum of its proper divisors (21904216253280).

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

7996009646880 is a wasteful number, since it uses less digits than its factorization.

7996009646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25574 (or 25557 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 7996009646880 in words is "seven trillion, nine hundred ninety-six billion, nine million, six hundred forty-six thousand, eight hundred eighty".