33764306013 has 24 divisors (see below), whose sum is σ = 49304248448. Its totient is φ = 22263558912.

The previous prime is 33764306011. The next prime is 33764306029. The reversal of 33764306013 is 31060346733.

33764306013 is a `hidden beast` number, since 3 + 3 + 7 + 6 + 43 + 0 + 601 + 3 = 666.

It is not a de Polignac number, because 33764306013 - 2¹ = 33764306011 is a prime.

It is a super-2 number, since 2×33764306013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33764306011) 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 23 ways as a sum of consecutive naturals, for example, 1492956 + ... + 1515402.

Almost surely, 2^33764306013 is an apocalyptic number.

It is an amenable number.

33764306013 is a deficient number, since it is larger than the sum of its proper divisors (15539942435).

33764306013 is a wasteful number, since it uses less digits than its factorization.

33764306013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24273 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 33764306013 in words is "thirty-three billion, seven hundred sixty-four million, three hundred six thousand, thirteen".