668735039232 has 288 divisors, whose sum is σ = 2133631852800. Its totient is φ = 205383610368.

The previous prime is 668735039177. The next prime is 668735039237. The reversal of 668735039232 is 232930537866.

It is a happy number.

668735039232 is a `hidden beast` number, since 6 + 68 + 73 + 503 + 9 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668735039237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50582319 + ... + 50595537.

Almost surely, 2^668735039232 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 668735039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066815926400).

668735039232 is an abundant number, since it is smaller than the sum of its proper divisors (1464896813568).

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

668735039232 is a wasteful number, since it uses less digits than its factorization.

668735039232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 668735039232 in words is "six hundred sixty-eight billion, seven hundred thirty-five million, thirty-nine thousand, two hundred thirty-two".