639864046080 has 1440 divisors, whose sum is σ = 2724588472320. Its totient is φ = 138169221120.

The previous prime is 639864046067. The next prime is 639864046099. The reversal of 639864046080 is 80640468936.

639864046080 is a `hidden beast` number, since 63 + 9 + 8 + 6 + 40 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1644894526 + ... + 1644894914.

It is an arithmetic number, because the mean of its divisors is an integer number (1892075328).

Almost surely, 2^639864046080 is an apocalyptic number.

639864046080 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 639864046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362294236160).

639864046080 is an abundant number, since it is smaller than the sum of its proper divisors (2084724426240).

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

639864046080 is a wasteful number, since it uses less digits than its factorization.

639864046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 639864046080 in words is "six hundred thirty-nine billion, eight hundred sixty-four million, forty-six thousand, eighty".