667183145004 has 96 divisors (see below), whose sum is σ = 1787800512960. Its totient is φ = 215005280256.

The previous prime is 667183145003. The next prime is 667183145009. The reversal of 667183145004 is 400541381766.

667183145004 is a `hidden beast` number, since 6 + 67 + 1 + 83 + 1 + 4 + 500 + 4 = 666.

667183145004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (667183145003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95644 + ... + 1159100.

It is an arithmetic number, because the mean of its divisors is an integer number (18622922010).

Almost surely, 2^667183145004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667183145004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893900256480).

667183145004 is an abundant number, since it is smaller than the sum of its proper divisors (1120617367956).

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

667183145004 is a wasteful number, since it uses less digits than its factorization.

667183145004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063664 (or 1063656 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 667183145004 in words is "six hundred sixty-seven billion, one hundred eighty-three million, one hundred forty-five thousand, four".