668764057003033 has 16 divisors (see below), whose sum is σ = 709895461645584. Its totient is φ = 627831840430080.

The previous prime is 668764057003027. The next prime is 668764057003039. The reversal of 668764057003033 is 330300750467866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (668764057003027) and next prime (668764057003039).

It can be written as a sum of positive squares in 8 ways, for example, as 217806002095504 + 450958054907529 = 14758252^2 + 21235773^2 .

It is a cyclic number.

It is not a de Polignac number, because 668764057003033 - 2⁹ = 668764057002521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (668764057003039) 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 15 ways as a sum of consecutive naturals, for example, 592545091 + ... + 593672647.

It is an arithmetic number, because the mean of its divisors is an integer number (44368466352849).

Almost surely, 2^{668764057003033} is an apocalyptic number.

It is an amenable number.

668764057003033 is a deficient number, since it is larger than the sum of its proper divisors (41131404642551).

668764057003033 is a wasteful number, since it uses less digits than its factorization.

668764057003033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215852.

The product of its (nonzero) digits is 45722880, while the sum is 58.

The spelling of 668764057003033 in words is "six hundred sixty-eight trillion, seven hundred sixty-four billion, fifty-seven million, three thousand, thirty-three".