667152067740224 has 224 divisors, whose sum is σ = 1485105424146432. Its totient is φ = 294689311488000.

The previous prime is 667152067740143. The next prime is 667152067740253. The reversal of 667152067740224 is 422047760251766.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86385088427 + ... + 86385096149.

Almost surely, 2^{667152067740224} is an apocalyptic number.

667152067740224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667152067740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742552712073216).

667152067740224 is an abundant number, since it is smaller than the sum of its proper divisors (817953356406208).

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

667152067740224 is a wasteful number, since it uses less digits than its factorization.

667152067740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11465 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 59.

The spelling of 667152067740224 in words is "six hundred sixty-seven trillion, one hundred fifty-two billion, sixty-seven million, seven hundred forty thousand, two hundred twenty-four".