667974954240 has 288 divisors, whose sum is σ = 2585874211200. Its totient is φ = 161933230080.

The previous prime is 667974954221. The next prime is 667974954271. The reversal of 667974954240 is 42459479766.

It is a happy number.

667974954240 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 7 + 49 + 542 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498385 + ... + 1258704.

It is an arithmetic number, because the mean of its divisors is an integer number (8978729900).

Almost surely, 2^667974954240 is an apocalyptic number.

667974954240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667974954240 is an abundant number, since it is smaller than the sum of its proper divisors (1917899256960).

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

667974954240 is a wasteful number, since it uses less digits than its factorization.

667974954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757130 (or 1757110 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 667974954240 in words is "six hundred sixty-seven billion, nine hundred seventy-four million, nine hundred fifty-four thousand, two hundred forty".