32742069785985 has 32 divisors (see below), whose sum is σ = 61263567129600. Its totient is φ = 14619714879168.

The previous prime is 32742069785963. The next prime is 32742069785987. The reversal of 32742069785985 is 58958796024723.

It is not a de Polignac number, because 32742069785985 - 2¹⁰ = 32742069784961 is a prime.

It is a super-3 number, since 3×32742069785985³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (32742069785987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3625916835 + ... + 3625925864.

It is an arithmetic number, because the mean of its divisors is an integer number (1914486472800).

Almost surely, 2^{32742069785985} is an apocalyptic number.

32742069785985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32742069785985 is a deficient number, since it is larger than the sum of its proper divisors (28521497343615).

32742069785985 is a wasteful number, since it uses less digits than its factorization.

32742069785985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251842757.

The product of its (nonzero) digits is 1828915200, while the sum is 75.

The spelling of 32742069785985 in words is "thirty-two trillion, seven hundred forty-two billion, sixty-nine million, seven hundred eighty-five thousand, nine hundred eighty-five".