7032968000 has 112 divisors (see below), whose sum is σ = 18442039824. Its totient is φ = 2647654400.

The previous prime is 7032967993. The next prime is 7032968101. The reversal of 7032968000 is 8692307.

It can be written as a sum of positive squares in 8 ways, for example, as 913973824 + 6118994176 = 30232^2 + 78224^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110144 + ... + 161856.

Almost surely, 2^7032968000 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 7032968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221019912).

7032968000 is an abundant number, since it is smaller than the sum of its proper divisors (11409071824).

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

7032968000 is a wasteful number, since it uses less digits than its factorization.

7032968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51757 (or 51737 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 7032968000 is about 83862.7927033199. The cubic root of 7032968000 is about 1915.9296002306.

The spelling of 7032968000 in words is "seven billion, thirty-two million, nine hundred sixty-eight thousand".