32668195560 has 768 divisors, whose sum is σ = 136448686080. Its totient is φ = 6042470400.

The previous prime is 32668195559. The next prime is 32668195589. The reversal of 32668195560 is 6559186623.

It is a super-2 number, since 2×32668195560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115435179 + ... + 115435461.

It is an arithmetic number, because the mean of its divisors is an integer number (177667560).

Almost surely, 2^32668195560 is an apocalyptic number.

32668195560 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 32668195560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68224343040).

32668195560 is an abundant number, since it is smaller than the sum of its proper divisors (103780490520).

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

32668195560 is a wasteful number, since it uses less digits than its factorization.

32668195560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 32668195560 in words is "thirty-two billion, six hundred sixty-eight million, one hundred ninety-five thousand, five hundred sixty".