7032283920 has 560 divisors, whose sum is σ = 26742632112. Its totient is φ = 1711964160.

The previous prime is 7032283919. The next prime is 7032283949. The reversal of 7032283920 is 293822307.

It can be written as a sum of positive squares in 8 ways, for example, as 8503056 + 7023780864 = 2916^2 + 83808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40648954 + ... + 40649126.

Almost surely, 2^7032283920 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 7032283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371316056).

7032283920 is an abundant number, since it is smaller than the sum of its proper divisors (19710348192).

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

7032283920 is a wasteful number, since it uses less digits than its factorization.

7032283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7032283920 is about 83858.7140373617. The cubic root of 7032283920 is about 1915.8674789177.

The spelling of 7032283920 in words is "seven billion, thirty-two million, two hundred eighty-three thousand, nine hundred twenty".