659777690880 has 1728 divisors, whose sum is σ = 3017259528192. Its totient is φ = 129047592960.

The previous prime is 659777690879. The next prime is 659777690899. The reversal of 659777690880 is 88096777956.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 659777690799 and 659777690808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1489339939 + ... + 1489340381.

It is an arithmetic number, because the mean of its divisors is an integer number (1746099264).

Almost surely, 2^659777690880 is an apocalyptic number.

659777690880 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 659777690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508629764096).

659777690880 is an abundant number, since it is smaller than the sum of its proper divisors (2357481837312).

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

659777690880 is a wasteful number, since it uses less digits than its factorization.

659777690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 659777690880 in words is "six hundred fifty-nine billion, seven hundred seventy-seven million, six hundred ninety thousand, eight hundred eighty".