7166329000000 has 147 divisors (see below), whose sum is σ = 17782270216059. Its totient is φ = 2865460800000.

The previous prime is 7166328999961. The next prime is 7166329000073. The reversal of 7166329000000 is 9236617.

The square root of 7166329000000 is 2677000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1625992220736 + 5540336779264 = 1275144^2 + 2353792^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7166329000000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2676998662 + ... + 2677001338.

Almost surely, 2^{7166329000000} is an apocalyptic number.

7166329000000 is the 2677000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7166329000000

7166329000000 is an abundant number, since it is smaller than the sum of its proper divisors (10615941216059).

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

7166329000000 is an frugal number, since it uses more digits than its factorization.

7166329000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 7166329000000 in words is "seven trillion, one hundred sixty-six billion, three hundred twenty-nine million", and thus it is an aban number.