7374133000 has 128 divisors (see below), whose sum is σ = 18706353120. Its totient is φ = 2704665600.

The previous prime is 7374132991. The next prime is 7374133037. The reversal of 7374133000 is 3314737.

It can be written as a sum of positive squares in 16 ways, for example, as 4494093444 + 2880039556 = 67038^2 + 53666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7374133000.

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, 2039194 + ... + 2042806.

Almost surely, 2^7374133000 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 7374133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353176560).

7374133000 is an abundant number, since it is smaller than the sum of its proper divisors (11332220120).

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

7374133000 is a wasteful number, since it uses less digits than its factorization.

7374133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 7374133000 is about 85872.7721690642. The cubic root of 7374133000 is about 1946.4219286109.

Adding to 7374133000 its reverse (3314737), we get a palindrome (7377447737).

The spelling of 7374133000 in words is "seven billion, three hundred seventy-four million, one hundred thirty-three thousand".