8732528640 has 624 divisors, whose sum is σ = 34040485440. Its totient is φ = 2052587520.

The previous prime is 8732528587. The next prime is 8732528659. The reversal of 8732528640 is 468252378.

8732528640 is a `hidden beast` number, since 8 + 7 + 325 + 286 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 119623644 + ... + 119623716.

It is an arithmetic number, because the mean of its divisors is an integer number (54552060).

Almost surely, 2^8732528640 is an apocalyptic number.

8732528640 is a gapful number since it is divisible by the number (80) 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 8732528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020242720).

8732528640 is an abundant number, since it is smaller than the sum of its proper divisors (25307956800).

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

8732528640 is a wasteful number, since it uses less digits than its factorization.

8732528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8732528640 is about 93447.9996575636. Note that the first 3 decimals coincide. The cubic root of 8732528640 is about 2059.2702225370.

The spelling of 8732528640 in words is "eight billion, seven hundred thirty-two million, five hundred twenty-eight thousand, six hundred forty".