667601775464000 has 448 divisors, whose sum is σ = 1838188759959552. Its totient is φ = 238513849344000.

The previous prime is 667601775463993. The next prime is 667601775464011. The reversal of 667601775464000 is 464577106766.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38807279399 + ... + 38807296601.

It is an arithmetic number, because the mean of its divisors is an integer number (4103099910624).

Almost surely, 2^{667601775464000} 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 667601775464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919094379979776).

667601775464000 is an abundant number, since it is smaller than the sum of its proper divisors (1170586984495552).

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

667601775464000 is a wasteful number, since it uses less digits than its factorization.

667601775464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29311 (or 29291 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 59.

The spelling of 667601775464000 in words is "six hundred sixty-seven trillion, six hundred one billion, seven hundred seventy-five million, four hundred sixty-four thousand".