667436672 has 64 divisors (see below), whose sum is σ = 1523423040. Its totient is φ = 285327360.

The previous prime is 667436639. The next prime is 667436683. The reversal of 667436672 is 276634766.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×667436672² = 890943422260871168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516347 + ... + 517637.

It is an arithmetic number, because the mean of its divisors is an integer number (23803485).

Almost surely, 2^667436672 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 667436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761711520).

667436672 is an abundant number, since it is smaller than the sum of its proper divisors (855986368).

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

667436672 is a wasteful number, since it uses less digits than its factorization.

667436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1877 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 47.

The square root of 667436672 is about 25834.7957607565. The cubic root of 667436672 is about 873.9166661395.

The spelling of 667436672 in words is "six hundred sixty-seven million, four hundred thirty-six thousand, six hundred seventy-two".