7328962368 has 336 divisors, whose sum is σ = 26560759680. Its totient is φ = 1880174592.

The previous prime is 7328962337. The next prime is 7328962387. The reversal of 7328962368 is 8632698237.

It is a happy number.

7328962368 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 9 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1937503 + ... + 1941281.

It is an arithmetic number, because the mean of its divisors is an integer number (79049880).

Almost surely, 2^7328962368 is an apocalyptic number.

7328962368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7328962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280379840).

7328962368 is an abundant number, since it is smaller than the sum of its proper divisors (19231797312).

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

7328962368 is a wasteful number, since it uses less digits than its factorization.

7328962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3841 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 7328962368 is about 85609.3591145267. The cubic root of 7328962368 is about 1942.4394833142.

The spelling of 7328962368 in words is "seven billion, three hundred twenty-eight million, nine hundred sixty-two thousand, three hundred sixty-eight".