638065118880 has 768 divisors, whose sum is σ = 2617380864000. Its totient is φ = 145114260480.

The previous prime is 638065118849. The next prime is 638065118897. The reversal of 638065118880 is 88811560836.

638065118880 is a `hidden beast` number, since 6 + 380 + 6 + 5 + 1 + 188 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 330431515 + ... + 330433445.

It is an arithmetic number, because the mean of its divisors is an integer number (3408048000).

Almost surely, 2^638065118880 is an apocalyptic number.

638065118880 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 638065118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308690432000).

638065118880 is an abundant number, since it is smaller than the sum of its proper divisors (1979315745120).

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

638065118880 is a wasteful number, since it uses less digits than its factorization.

638065118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 638065118880 in words is "six hundred thirty-eight billion, sixty-five million, one hundred eighteen thousand, eight hundred eighty".