15328304640 has 480 divisors, whose sum is σ = 59811028992. Its totient is φ = 3594240000.

The previous prime is 15328304633. The next prime is 15328304653. The reversal of 15328304640 is 4640382351.

15328304640 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 8 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 15328304595 and 15328304604.

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, 7855665 + ... + 7857615.

Almost surely, 2^15328304640 is an apocalyptic number.

15328304640 is a gapful number since it is divisible by the number (10) 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 15328304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29905514496).

15328304640 is an abundant number, since it is smaller than the sum of its proper divisors (44482724352).

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

15328304640 is a wasteful number, since it uses less digits than its factorization.

15328304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 15328304640 its reverse (4640382351), we get a palindrome (19968686991).

The spelling of 15328304640 in words is "fifteen billion, three hundred twenty-eight million, three hundred four thousand, six hundred forty".