667729127232 has 280 divisors, whose sum is σ = 2067390124800. Its totient is φ = 212695870464.

The previous prime is 667729127227. The next prime is 667729127297. The reversal of 667729127232 is 232721927766.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170380569 + ... + 170384487.

It is an arithmetic number, because the mean of its divisors is an integer number (7383536160).

Almost surely, 2^667729127232 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 667729127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033695062400).

667729127232 is an abundant number, since it is smaller than the sum of its proper divisors (1399660997568).

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

667729127232 is a wasteful number, since it uses less digits than its factorization.

667729127232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5376 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 667729127232 in words is "six hundred sixty-seven billion, seven hundred twenty-nine million, one hundred twenty-seven thousand, two hundred thirty-two".