32562528960 has 448 divisors, whose sum is σ = 121715564544. Its totient is φ = 7299072000.

The previous prime is 32562528959. The next prime is 32562528997. The reversal of 32562528960 is 6982526523.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6574485 + ... + 6579435.

It is an arithmetic number, because the mean of its divisors is an integer number (271686528).

Almost surely, 2^32562528960 is an apocalyptic number.

32562528960 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 32562528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60857782272).

32562528960 is an abundant number, since it is smaller than the sum of its proper divisors (89153035584).

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

32562528960 is a wasteful number, since it uses less digits than its factorization.

32562528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 32562528960 in words is "thirty-two billion, five hundred sixty-two million, five hundred twenty-eight thousand, nine hundred sixty".