667872744 has 192 divisors, whose sum is σ = 2244231360. Its totient is φ = 163215360.

The previous prime is 667872661. The next prime is 667872787. The reversal of 667872744 is 447278766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 218394 + ... + 221430.

It is an arithmetic number, because the mean of its divisors is an integer number (11688705).

Almost surely, 2^667872744 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 667872744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122115680).

667872744 is an abundant number, since it is smaller than the sum of its proper divisors (1576358616).

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

667872744 is a wasteful number, since it uses less digits than its factorization.

667872744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3077 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The square root of 667872744 is about 25843.2340081500. The cubic root of 667872744 is about 874.1069501714.

The spelling of 667872744 in words is "six hundred sixty-seven million, eight hundred seventy-two thousand, seven hundred forty-four".