7613450942328 has 1152 divisors, whose sum is σ = 27266098728960. Its totient is φ = 1876408934400.

The previous prime is 7613450942309. The next prime is 7613450942329. The reversal of 7613450942328 is 8232490543167.

7613450942328 is a `hidden beast` number, since 7 + 61 + 3 + 4 + 509 + 42 + 32 + 8 = 666.

It is a super-2 number, since 2×7613450942328² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7613450942329) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33539431351 + ... + 33539431577.

It is an arithmetic number, because the mean of its divisors is an integer number (23668488480).

It is a 1-persistent number, because it is pandigital, but 2⋅7613450942328 = 15226901884656 is not.

Almost surely, 2^{7613450942328} 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 7613450942328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633049364480).

7613450942328 is an abundant number, since it is smaller than the sum of its proper divisors (19652647786632).

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

7613450942328 is a wasteful number, since it uses less digits than its factorization.

7613450942328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7613450942328 in words is "seven trillion, six hundred thirteen billion, four hundred fifty million, nine hundred forty-two thousand, three hundred twenty-eight".