667460736 has 224 divisors, whose sum is σ = 2087017920. Its totient is φ = 212129280.

The previous prime is 667460711. The next prime is 667460741. The reversal of 667460736 is 637064766.

667460736 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 667460691 and 667460700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2146021 + ... + 2146331.

Almost surely, 2^667460736 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 667460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043508960).

667460736 is an abundant number, since it is smaller than the sum of its proper divisors (1419557184).

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

667460736 is an equidigital number, since it uses as much as digits as its factorization.

667460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 667460736 is about 25835.2614850324. The cubic root of 667460736 is about 873.9271688478.

The spelling of 667460736 in words is "six hundred sixty-seven million, four hundred sixty thousand, seven hundred thirty-six".