7917632910720 has 768 divisors, whose sum is σ = 30460044902400. Its totient is φ = 1942830489600.

The previous prime is 7917632910667. The next prime is 7917632910727. The reversal of 7917632910720 is 270192367197.

7917632910720 is a `hidden beast` number, since 79 + 176 + 329 + 10 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7917632910727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966621825 + ... + 966630015.

It is an arithmetic number, because the mean of its divisors is an integer number (39661516800).

Almost surely, 2^{7917632910720} 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 7917632910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230022451200).

7917632910720 is an abundant number, since it is smaller than the sum of its proper divisors (22542411991680).

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

7917632910720 is a wasteful number, since it uses less digits than its factorization.

7917632910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 7917632910720 in words is "seven trillion, nine hundred seventeen billion, six hundred thirty-two million, nine hundred ten thousand, seven hundred twenty".