667555680 has 288 divisors, whose sum is σ = 2408071680. Its totient is φ = 154147840.

The previous prime is 667555663. The next prime is 667555687. The reversal of 667555680 is 86555766.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667555687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793001 + ... + 2793239.

It is an arithmetic number, because the mean of its divisors is an integer number (8361360).

Almost surely, 2^667555680 is an apocalyptic number.

667555680 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 667555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204035840).

667555680 is an abundant number, since it is smaller than the sum of its proper divisors (1740516000).

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

667555680 is a wasteful number, since it uses less digits than its factorization.

667555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 667555680 is about 25837.0989083527. The cubic root of 667555680 is about 873.9686045971.

The spelling of 667555680 in words is "six hundred sixty-seven million, five hundred fifty-five thousand, six hundred eighty".