7975644318720 has 2112 divisors, whose sum is σ = 32988875826816. Its totient is φ = 1763243458560.

The previous prime is 7975644318713. The next prime is 7975644318743. The reversal of 7975644318720 is 278134465797.

7975644318720 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 6 + 443 + 187 + 2 + 0 = 666.

It is a super-2 number, since 2×7975644318720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22984565587 + ... + 22984565933.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7975644318720 = 15951288637440, but 3⋅7975644318720 = 23926932956160 is not.

Almost surely, 2^{7975644318720} 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 7975644318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16494437913408).

7975644318720 is an abundant number, since it is smaller than the sum of its proper divisors (25013231508096).

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

7975644318720 is a wasteful number, since it uses less digits than its factorization.

7975644318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 7975644318720 in words is "seven trillion, nine hundred seventy-five billion, six hundred forty-four million, three hundred eighteen thousand, seven hundred twenty".