549006936619680 has 4320 divisors, whose sum is σ = 2514751686720000. Its totient is φ = 109001923430400.

The previous prime is 549006936619679. The next prime is 549006936619681. The reversal of 549006936619680 is 86916639600945.

549006936619680 is a `hidden beast` number, since 5 + 49 + 0 + 0 + 69 + 366 + 1 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (549006936619679) and next prime (549006936619681).

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 = 549006936619599 and 549006936619608.

It is not an unprimeable number, because it can be changed into a prime (549006936619681) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 6949454893881 + ... + 6949454893959.

It is an arithmetic number, because the mean of its divisors is an integer number (582118446000).

Almost surely, 2^{549006936619680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549006936619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257375843360000).

549006936619680 is an abundant number, since it is smaller than the sum of its proper divisors (1965744750100320).

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

549006936619680 is an equidigital number, since it uses as much as digits as its factorization.

549006936619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 549006936619680 in words is "five hundred forty-nine trillion, six billion, nine hundred thirty-six million, six hundred nineteen thousand, six hundred eighty".