667947432152 has 768 divisors, whose sum is σ = 1867365964800. Its totient is φ = 221298739200.

The previous prime is 667947432149. The next prime is 667947432179. The reversal of 667947432152 is 251234749766.

It is a happy number.

It is a super-2 number, since 2×667947432152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (15240960) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9149964788 + ... + 9149964860.

It is an arithmetic number, because the mean of its divisors is an integer number (2431466100).

Almost surely, 2^667947432152 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 667947432152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933682982400).

667947432152 is an abundant number, since it is smaller than the sum of its proper divisors (1199418532648).

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

667947432152 is a wasteful number, since it uses less digits than its factorization.

667947432152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 56.

The spelling of 667947432152 in words is "six hundred sixty-seven billion, nine hundred forty-seven million, four hundred thirty-two thousand, one hundred fifty-two".