667351872 has 336 divisors, whose sum is σ = 2236695552. Its totient is φ = 195540480.

The previous prime is 667351871. The next prime is 667351889. The reversal of 667351872 is 278153766.

667351872 is a `hidden beast` number, since 6 + 67 + 3 + 518 + 72 = 666.

Its product of digits (423360) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667351871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8040343 + ... + 8040425.

It is an arithmetic number, because the mean of its divisors is an integer number (6656832).

Almost surely, 2^667351872 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 667351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118347776).

667351872 is an abundant number, since it is smaller than the sum of its proper divisors (1569343680).

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

667351872 is a wasteful number, since it uses less digits than its factorization.

667351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 667351872 is about 25833.1545112090. The cubic root of 667351872 is about 873.8796532537.

The spelling of 667351872 in words is "six hundred sixty-seven million, three hundred fifty-one thousand, eight hundred seventy-two".