667625587200 has 2880 divisors, whose sum is σ = 3102901401600. Its totient is φ = 139744051200.

The previous prime is 667625587163. The next prime is 667625587207. The reversal of 667625587200 is 2785526766.

667625587200 is a `hidden beast` number, since 6 + 6 + 7 + 62 + 558 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (667625587207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8450956761 + ... + 8450956839.

It is an arithmetic number, because the mean of its divisors is an integer number (1077396320).

Almost surely, 2^667625587200 is an apocalyptic number.

667625587200 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 667625587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551450700800).

667625587200 is an abundant number, since it is smaller than the sum of its proper divisors (2435275814400).

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

667625587200 is a wasteful number, since it uses less digits than its factorization.

667625587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 667625587200 in words is "six hundred sixty-seven billion, six hundred twenty-five million, five hundred eighty-seven thousand, two hundred".