636090817680 has 60 divisors (see below), whose sum is σ = 2136204998460. Its totient is φ = 169624217856.

The previous prime is 636090817643. The next prime is 636090817699. The reversal of 636090817680 is 86718090636.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144448644096 + 491642173584 = 380064^2 + 701172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×636090817680³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 441729015 + ... + 441730454.

It is an arithmetic number, because the mean of its divisors is an integer number (35603416641).

Almost surely, 2^636090817680 is an apocalyptic number.

636090817680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

636090817680 is an abundant number, since it is smaller than the sum of its proper divisors (1500114180780).

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

636090817680 is a wasteful number, since it uses less digits than its factorization.

636090817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883459488 (or 883459479 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 636090817680 in words is "six hundred thirty-six billion, ninety million, eight hundred seventeen thousand, six hundred eighty".