667622400 has 132 divisors (see below), whose sum is σ = 2206780632. Its totient is φ = 178012160.

The previous prime is 667622383. The next prime is 667622411. The reversal of 667622400 is 4226766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72454 + ... + 81146.

Almost surely, 2^667622400 is an apocalyptic number.

667622400 is a gapful number since it is divisible by the number (60) 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 667622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103390316).

667622400 is an abundant number, since it is smaller than the sum of its proper divisors (1539158232).

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

667622400 is a wasteful number, since it uses less digits than its factorization.

667622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8726 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 667622400 is about 25838.3900427252. The cubic root of 667622400 is about 873.9977203920.

The spelling of 667622400 in words is "six hundred sixty-seven million, six hundred twenty-two thousand, four hundred".