7671441327352 has 128 divisors (see below), whose sum is σ = 16393837743360. Its totient is φ = 3335096862720.

The previous prime is 7671441327331. The next prime is 7671441327377. The reversal of 7671441327352 is 2537231441767.

It is a super-3 number, since 3×7671441327352³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7671441327352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35382058 + ... + 35598214.

It is an arithmetic number, because the mean of its divisors is an integer number (128076857370).

Almost surely, 2^{7671441327352} 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 7671441327352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196918871680).

7671441327352 is an abundant number, since it is smaller than the sum of its proper divisors (8722396416008).

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

7671441327352 is a wasteful number, since it uses less digits than its factorization.

7671441327352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216413 (or 216409 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 52.

The spelling of 7671441327352 in words is "seven trillion, six hundred seventy-one billion, four hundred forty-one million, three hundred twenty-seven thousand, three hundred fifty-two".