7995108022272 has 672 divisors, whose sum is σ = 28031187824640. Its totient is φ = 2231067525120.

The previous prime is 7995108022271. The next prime is 7995108022277. The reversal of 7995108022272 is 2722208015997.

7995108022272 is a `hidden beast` number, since 7 + 9 + 9 + 510 + 80 + 22 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (7995108022271) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 449381697 + ... + 449399487.

It is an arithmetic number, because the mean of its divisors is an integer number (41713077120).

Almost surely, 2^{7995108022272} is an apocalyptic number.

7995108022272 is a gapful number since it is divisible by the number (72) 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 7995108022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015593912320).

7995108022272 is an abundant number, since it is smaller than the sum of its proper divisors (20036079802368).

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

7995108022272 is an equidigital number, since it uses as much as digits as its factorization.

7995108022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881 (or 17846 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 7995108022272 in words is "seven trillion, nine hundred ninety-five billion, one hundred eight million, twenty-two thousand, two hundred seventy-two".