667233142400 has 384 divisors, whose sum is σ = 1826388907200. Its totient is φ = 238841856000.

The previous prime is 667233142361. The next prime is 667233142423. The reversal of 667233142400 is 4241332766.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168534115 + ... + 1168534685.

Almost surely, 2^667233142400 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 667233142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913194453600).

667233142400 is an abundant number, since it is smaller than the sum of its proper divisors (1159155764800).

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

667233142400 is a wasteful number, since it uses less digits than its factorization.

667233142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 667233142400 in words is "six hundred sixty-seven billion, two hundred thirty-three million, one hundred forty-two thousand, four hundred".