639777120 has 384 divisors, whose sum is σ = 2286144000. Its totient is φ = 149667840.

The previous prime is 639777097. The next prime is 639777169. The reversal of 639777120 is 21777936.

639777120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10843651 + ... + 10843709.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^639777120 is an apocalyptic number.

639777120 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 639777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072000).

639777120 is an abundant number, since it is smaller than the sum of its proper divisors (1646366880).

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

639777120 is a wasteful number, since it uses less digits than its factorization.

639777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 639777120 is about 25293.8158449847. The cubic root of 639777120 is about 861.6738268137.

The spelling of 639777120 in words is "six hundred thirty-nine million, seven hundred seventy-seven thousand, one hundred twenty".