667382352 has 360 divisors, whose sum is σ = 2297156544. Its totient is φ = 166053888.

The previous prime is 667382341. The next prime is 667382371. The reversal of 667382352 is 253283766.

It is a happy number.

667382352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667382352² = 890798407522103808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9142188 + ... + 9142260.

Almost surely, 2^667382352 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 667382352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148578272).

667382352 is an abundant number, since it is smaller than the sum of its proper divisors (1629774192).

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

667382352 is a wasteful number, since it uses less digits than its factorization.

667382352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 667382352 is about 25833.7444440406. The cubic root of 667382352 is about 873.8929573028.

The spelling of 667382352 in words is "six hundred sixty-seven million, three hundred eighty-two thousand, three hundred fifty-two".