7813732004334 has 112 divisors (see below), whose sum is σ = 18005504721120. Its totient is φ = 2540480785920.

The previous prime is 7813732004297. The next prime is 7813732004339. The reversal of 7813732004334 is 4334002373187.

7813732004334 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 7 + 3 + 200 + 433 + 4 = 666.

It is a super-2 number, since 2×7813732004334² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7813732004334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813732004339) 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, 327511734 + ... + 327535590.

It is an arithmetic number, because the mean of its divisors is an integer number (160763435010).

Almost surely, 2^{7813732004334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813732004334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002752360560).

7813732004334 is an abundant number, since it is smaller than the sum of its proper divisors (10191772716786).

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

7813732004334 is a wasteful number, since it uses less digits than its factorization.

7813732004334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29397 (or 29382 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 7813732004334 in words is "seven trillion, eight hundred thirteen billion, seven hundred thirty-two million, four thousand, three hundred thirty-four".