659767680 has 640 divisors, whose sum is σ = 2799165600. Its totient is φ = 145981440.

The previous prime is 659767663. The next prime is 659767711. The reversal of 659767680 is 86767956.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7413076 + ... + 7413164.

Almost surely, 2^659767680 is an apocalyptic number.

659767680 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 659767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399582800).

659767680 is an abundant number, since it is smaller than the sum of its proper divisors (2139397920).

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

659767680 is a wasteful number, since it uses less digits than its factorization.

659767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 659767680 is about 25685.9432374986. The cubic root of 659767680 is about 870.5565998330.

The spelling of 659767680 in words is "six hundred fifty-nine million, seven hundred sixty-seven thousand, six hundred eighty".