32664098880 has 784 divisors, whose sum is σ = 135444000384. Its totient is φ = 7345520640.

The previous prime is 32664098867. The next prime is 32664098893. The reversal of 32664098880 is 8889046623.

It is an interprime number because it is at equal distance from previous prime (32664098867) and next prime (32664098893).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135535560 + ... + 135535800.

Almost surely, 2^32664098880 is an apocalyptic number.

32664098880 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 32664098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67722000192).

32664098880 is an abundant number, since it is smaller than the sum of its proper divisors (102779901504).

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

32664098880 is an equidigital number, since it uses as much as digits as its factorization.

32664098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 32664098880 in words is "thirty-two billion, six hundred sixty-four million, ninety-eight thousand, eight hundred eighty".