7146829328 has 80 divisors (see below), whose sum is σ = 14849049600. Its totient is φ = 3322327680.

The previous prime is 7146829321. The next prime is 7146829331. The reversal of 7146829328 is 8239286417.

It is not an unprimeable number, because it can be changed into a prime (7146829321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5675963 + ... + 5677221.

It is an arithmetic number, because the mean of its divisors is an integer number (185613120).

Almost surely, 2^7146829328 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 7146829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

7146829328 is an abundant number, since it is smaller than the sum of its proper divisors (7702220272).

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

7146829328 is a wasteful number, since it uses less digits than its factorization.

7146829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 7146829328 is about 84538.9219708887. The cubic root of 7146829328 is about 1926.2137128524.

The spelling of 7146829328 in words is "seven billion, one hundred forty-six million, eight hundred twenty-nine thousand, three hundred twenty-eight".