33640464001 has 8 divisors (see below), whose sum is σ = 33988664808. Its totient is φ = 33292560000.

The previous prime is 33640463999. The next prime is 33640464017. The reversal of 33640464001 is 10046404633.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5502078976 + 28138385025 = 74176^2 + 167745^2 .

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 33640464001 - 2¹ = 33640463999 is a prime.

It is a super-2 number, since 2×33640464001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33640464031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 157371 + ... + 303391.

It is an arithmetic number, because the mean of its divisors is an integer number (4248583101).

Almost surely, 2^33640464001 is an apocalyptic number.

It is an amenable number.

33640464001 is a deficient number, since it is larger than the sum of its proper divisors (348200807).

33640464001 is a wasteful number, since it uses less digits than its factorization.

33640464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148403.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 33640464001 its reverse (10046404633), we get a palindrome (43686868634).

The spelling of 33640464001 in words is "thirty-three billion, six hundred forty million, four hundred sixty-four thousand, one".