32258640960 has 896 divisors, whose sum is σ = 141944140800. Its totient is φ = 6715146240.

The previous prime is 32258640949. The next prime is 32258640977. The reversal of 32258640960 is 6904685223.

32258640960 is a `hidden beast` number, since 3 + 2 + 2 + 586 + 4 + 0 + 9 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69975130 + ... + 69975590.

It is an arithmetic number, because the mean of its divisors is an integer number (158419800).

Almost surely, 2^32258640960 is an apocalyptic number.

32258640960 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 32258640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70972070400).

32258640960 is an abundant number, since it is smaller than the sum of its proper divisors (109685499840).

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

32258640960 is a wasteful number, since it uses less digits than its factorization.

32258640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 32258640960 in words is "thirty-two billion, two hundred fifty-eight million, six hundred forty thousand, nine hundred sixty".