65579240880 has 480 divisors, whose sum is σ = 232698106368. Its totient is φ = 16534425600.

The previous prime is 65579240879. The next prime is 65579240887. The reversal of 65579240880 is 8804297556.

65579240880 is a `hidden beast` number, since 6 + 557 + 9 + 2 + 4 + 0 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (65579240887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140426407 + ... + 140426873.

Almost surely, 2^65579240880 is an apocalyptic number.

65579240880 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 65579240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116349053184).

65579240880 is an abundant number, since it is smaller than the sum of its proper divisors (167118865488).

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

65579240880 is a wasteful number, since it uses less digits than its factorization.

65579240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 65579240880 in words is "sixty-five billion, five hundred seventy-nine million, two hundred forty thousand, eight hundred eighty".