6528157632 has 224 divisors, whose sum is σ = 19569623040. Its totient is φ = 2133734400.

The previous prime is 6528157627. The next prime is 6528157667. The reversal of 6528157632 is 2367518256.

6528157632 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 1 + 5 + 7 + 632 = 666.

Its product of digits (604800) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33137758 + ... + 33137954.

Almost surely, 2^6528157632 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 6528157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784811520).

6528157632 is an abundant number, since it is smaller than the sum of its proper divisors (13041465408).

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

6528157632 is a wasteful number, since it uses less digits than its factorization.

6528157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 6528157632 is about 80797.0149943672. The cubic root of 6528157632 is about 1868.9465342872.

The spelling of 6528157632 in words is "six billion, five hundred twenty-eight million, one hundred fifty-seven thousand, six hundred thirty-two".