639048199680 has 960 divisors, whose sum is σ = 2521554235200. Its totient is φ = 153280512000.

The previous prime is 639048199637. The next prime is 639048199753. The reversal of 639048199680 is 86991840936.

It is a happy number.

639048199680 is a `hidden beast` number, since 6 + 3 + 9 + 0 + 481 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 911623330 + ... + 911624030.

It is an arithmetic number, because the mean of its divisors is an integer number (2626618995).

Almost surely, 2^639048199680 is an apocalyptic number.

639048199680 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 639048199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260777117600).

639048199680 is an abundant number, since it is smaller than the sum of its proper divisors (1882506035520).

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

639048199680 is a wasteful number, since it uses less digits than its factorization.

639048199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 639048199680 in words is "six hundred thirty-nine billion, forty-eight million, one hundred ninety-nine thousand, six hundred eighty".