7328281664 has 168 divisors, whose sum is σ = 17030395200. Its totient is φ = 3102105600.

The previous prime is 7328281651. The next prime is 7328281669. The reversal of 7328281664 is 4661828237.

It is not an unprimeable number, because it can be changed into a prime (7328281669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36825437 + ... + 36825635.

It is an arithmetic number, because the mean of its divisors is an integer number (101371400).

Almost surely, 2^7328281664 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 7328281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515197600).

7328281664 is an abundant number, since it is smaller than the sum of its proper divisors (9702113536).

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

7328281664 is a wasteful number, since it uses less digits than its factorization.

7328281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 410 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 7328281664 is about 85605.3833821215. The cubic root of 7328281664 is about 1942.3793444115.

The spelling of 7328281664 in words is "seven billion, three hundred twenty-eight million, two hundred eighty-one thousand, six hundred sixty-four".