7382467328 has 216 divisors, whose sum is σ = 17045586432. Its totient is φ = 3177086976.

The previous prime is 7382467327. The next prime is 7382467349. The reversal of 7382467328 is 8237642837.

It is not an unprimeable number, because it can be changed into a prime (7382467327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58129601 + ... + 58129727.

It is an arithmetic number, because the mean of its divisors is an integer number (78914752).

Almost surely, 2^7382467328 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 7382467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522793216).

7382467328 is an abundant number, since it is smaller than the sum of its proper divisors (9663119104).

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

7382467328 is a wasteful number, since it uses less digits than its factorization.

7382467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 50.

The square root of 7382467328 is about 85921.2856514612. The cubic root of 7382467328 is about 1947.1549418406.

The spelling of 7382467328 in words is "seven billion, three hundred eighty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".