666004004064 has 144 divisors (see below), whose sum is σ = 2164751447040. Its totient is φ = 190265898240.

The previous prime is 666004004063. The next prime is 666004004087. The reversal of 666004004064 is 460400400666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×666004004064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666004004063) 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, 34986229 + ... + 35005259.

It is an arithmetic number, because the mean of its divisors is an integer number (15032996160).

Almost surely, 2^666004004064 is an apocalyptic number.

It is an amenable number.

666004004064 is an abundant number, since it is smaller than the sum of its proper divisors (1498747442976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

666004004064 is a wasteful number, since it uses less digits than its factorization.

666004004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36402 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 666004004064 in words is "six hundred sixty-six billion, four million, four thousand, sixty-four".