7671211221352 has 192 divisors, whose sum is σ = 17066319716880. Its totient is φ = 3222569484288.

The previous prime is 7671211221343. The next prime is 7671211221367. The reversal of 7671211221352 is 2531221121767.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1735137024516 + 5936074196836 = 1317246^2 + 2436406^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3630482248 + ... + 3630484360.

Almost surely, 2^{7671211221352} 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 7671211221352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533159858440).

7671211221352 is an abundant number, since it is smaller than the sum of its proper divisors (9395108495528).

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

7671211221352 is a wasteful number, since it uses less digits than its factorization.

7671211221352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2921 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The spelling of 7671211221352 in words is "seven trillion, six hundred seventy-one billion, two hundred eleven million, two hundred twenty-one thousand, three hundred fifty-two".