667727424 has 168 divisors, whose sum is σ = 2355778880. Its totient is φ = 176090112.

The previous prime is 667727371. The next prime is 667727429. The reversal of 667727424 is 424727766.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 667727424.

It is not an unprimeable number, because it can be changed into a prime (667727429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46047 + ... + 58785.

Almost surely, 2^667727424 is an apocalyptic number.

667727424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177889440).

667727424 is an abundant number, since it is smaller than the sum of its proper divisors (1688051456).

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

667727424 is a wasteful number, since it uses less digits than its factorization.

667727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777 (or 12764 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 667727424 is about 25840.4222875711. The cubic root of 667727424 is about 874.0435476559.

The spelling of 667727424 in words is "six hundred sixty-seven million, seven hundred twenty-seven thousand, four hundred twenty-four".