32385224431680 has 336 divisors, whose sum is σ = 107634727112640. Its totient is φ = 8249305337856.

The previous prime is 32385224431661. The next prime is 32385224431709. The reversal of 32385224431680 is 8613442258323.

It is a super-2 number, since 2×32385224431680² (a number of 28 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 47 ways as a sum of consecutive naturals, for example, 375250614 + ... + 375336906.

It is an arithmetic number, because the mean of its divisors is an integer number (320341449740).

Almost surely, 2^{32385224431680} is an apocalyptic number.

32385224431680 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 32385224431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53817363556320).

32385224431680 is an abundant number, since it is smaller than the sum of its proper divisors (75249502680960).

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

32385224431680 is a wasteful number, since it uses less digits than its factorization.

32385224431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87098 (or 87065 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 32385224431680 in words is "thirty-two trillion, three hundred eighty-five billion, two hundred twenty-four million, four hundred thirty-one thousand, six hundred eighty".