32528425680 has 360 divisors, whose sum is σ = 114325042104. Its totient is φ = 8286105600.

The previous prime is 32528425673. The next prime is 32528425687. The reversal of 32528425680 is 8652482523.

32528425680 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 84 + 2 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32528425673) and next prime (32528425687).

It can be written as a sum of positive squares in 12 ways, for example, as 4086277776 + 28442147904 = 63924^2 + 168648^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32528425687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60126210 + ... + 60126750.

Almost surely, 2^32528425680 is an apocalyptic number.

32528425680 is a gapful number since it is divisible by the number (30) 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 32528425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57162521052).

32528425680 is an abundant number, since it is smaller than the sum of its proper divisors (81796616424).

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

32528425680 is a wasteful number, since it uses less digits than its factorization.

32528425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 32528425680 in words is "thirty-two billion, five hundred twenty-eight million, four hundred twenty-five thousand, six hundred eighty".