667359732960 has 144 divisors (see below), whose sum is σ = 2411327829456. Its totient is φ = 167494201344.

The previous prime is 667359732953. The next prime is 667359732961. The reversal of 667359732960 is 69237953766.

667359732960 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 597 + 32 + 9 + 6 + 0 = 666.

667359732960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667359732961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13606234 + ... + 13655193.

It is an arithmetic number, because the mean of its divisors is an integer number (16745332149).

Almost surely, 2^667359732960 is an apocalyptic number.

667359732960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667359732960 is an abundant number, since it is smaller than the sum of its proper divisors (1743968096496).

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

667359732960 is a wasteful number, since it uses less digits than its factorization.

667359732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27261465 (or 27261454 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 667359732960 in words is "six hundred sixty-seven billion, three hundred fifty-nine million, seven hundred thirty-two thousand, nine hundred sixty".