7975962630720 has 3584 divisors, whose sum is σ = 36914488934400. Its totient is φ = 1580182732800.

The previous prime is 7975962630707. The next prime is 7975962630733. The reversal of 7975962630720 is 270362695797.

7975962630720 is a `hidden beast` number, since 7 + 9 + 7 + 596 + 2 + 6 + 30 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7975962630707) and next prime (7975962630733).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 62802855297 + ... + 62802855423.

It is an arithmetic number, because the mean of its divisors is an integer number (10299801600).

Almost surely, 2^{7975962630720} is an apocalyptic number.

7975962630720 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 7975962630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457244467200).

7975962630720 is an abundant number, since it is smaller than the sum of its proper divisors (28938526303680).

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

7975962630720 is a wasteful number, since it uses less digits than its factorization.

7975962630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 7975962630720 in words is "seven trillion, nine hundred seventy-five billion, nine hundred sixty-two million, six hundred thirty thousand, seven hundred twenty".