7612266190221 has 480 divisors, whose sum is σ = 16032115123200. Its totient is φ = 3542360532480.

The previous prime is 7612266190211. The next prime is 7612266190231. The reversal of 7612266190221 is 1220916622167.

7612266190221 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 2 + 6 + 619 + 0 + 2 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (7612266190211) and next prime (7612266190231).

It is not a de Polignac number, because 7612266190221 - 2⁶ = 7612266190157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7612266190211) 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 479 ways as a sum of consecutive naturals, for example, 1698027246 + ... + 1698031728.

It is an arithmetic number, because the mean of its divisors is an integer number (33400239840).

Almost surely, 2^{7612266190221} is an apocalyptic number.

It is an amenable number.

7612266190221 is an abundant number, since it is smaller than the sum of its proper divisors (8419848932979).

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

7612266190221 is a wasteful number, since it uses less digits than its factorization.

7612266190221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 7612266190221 in words is "seven trillion, six hundred twelve billion, two hundred sixty-six million, one hundred ninety thousand, two hundred twenty-one".