638103042720 has 576 divisors, whose sum is σ = 2640762528768. Its totient is φ = 138184704000.

The previous prime is 638103042677. The next prime is 638103042721. The reversal of 638103042720 is 27240301836.

It is a happy number.

638103042720 is a `hidden beast` number, since 6 + 3 + 81 + 0 + 304 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (638103042721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6333540 + ... + 6433500.

It is an arithmetic number, because the mean of its divisors is an integer number (4584657168).

Almost surely, 2^638103042720 is an apocalyptic number.

638103042720 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 638103042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320381264384).

638103042720 is an abundant number, since it is smaller than the sum of its proper divisors (2002659486048).

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

638103042720 is a wasteful number, since it uses less digits than its factorization.

638103042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100037 (or 100026 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 638103042720 in words is "six hundred thirty-eight billion, one hundred three million, forty-two thousand, seven hundred twenty".