32967742009 has 8 divisors (see below), whose sum is σ = 33007528008. Its totient is φ = 32927980800.

The previous prime is 32967741973. The next prime is 32967742021. The reversal of 32967742009 is 90024776923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 32846125225 = 11028^2 + 181235^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32967742009 - 2¹⁷ = 32967610937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32967722009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4181379 + ... + 4189255.

It is an arithmetic number, because the mean of its divisors is an integer number (4125941001).

Almost surely, 2^32967742009 is an apocalyptic number.

It is an amenable number.

32967742009 is a deficient number, since it is larger than the sum of its proper divisors (39785999).

32967742009 is a wasteful number, since it uses less digits than its factorization.

32967742009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395.

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 32967742009 in words is "thirty-two billion, nine hundred sixty-seven million, seven hundred forty-two thousand, nine".