667406554387200 has 3024 divisors, whose sum is σ = 2729731118839200. Its totient is φ = 160727157964800.

The previous prime is 667406554387187. The next prime is 667406554387207. The reversal of 667406554387200 is 2783455604766.

It is a happy number.

667406554387200 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 0 + 6 + 5 + 543 + 87 + 2 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (667406554387207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 411725202390 + ... + 411725204010.

It is an arithmetic number, because the mean of its divisors is an integer number (902688862050).

Almost surely, 2^{667406554387200} is an apocalyptic number.

667406554387200 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 667406554387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364865559419600).

667406554387200 is an abundant number, since it is smaller than the sum of its proper divisors (2062324564452000).

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

667406554387200 is a wasteful number, since it uses less digits than its factorization.

667406554387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 667406554387200 in words is "six hundred sixty-seven trillion, four hundred six billion, five hundred fifty-four million, three hundred eighty-seven thousand, two hundred".