667685760 has 384 divisors, whose sum is σ = 2545136640. Its totient is φ = 148377600.

The previous prime is 667685749. The next prime is 667685819. The reversal of 667685760 is 67586766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4421685 + ... + 4421835.

It is an arithmetic number, because the mean of its divisors is an integer number (6627960).

Almost surely, 2^667685760 is an apocalyptic number.

667685760 is a gapful number since it is divisible by the number (60) 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 667685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272568320).

667685760 is an abundant number, since it is smaller than the sum of its proper divisors (1877450880).

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

667685760 is a wasteful number, since it uses less digits than its factorization.

667685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 667685760 is about 25839.6160962194. The cubic root of 667685760 is about 874.0253681281.

The spelling of 667685760 in words is "six hundred sixty-seven million, six hundred eighty-five thousand, seven hundred sixty".