638730574272 has 224 divisors, whose sum is σ = 2146674700800. Its totient is φ = 182437042176.

The previous prime is 638730574247. The next prime is 638730574277. The reversal of 638730574272 is 272475037836.

638730574272 is a `hidden beast` number, since 6 + 38 + 7 + 30 + 574 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638730574277) 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 31 ways as a sum of consecutive naturals, for example, 51801004 + ... + 51813332.

It is an arithmetic number, because the mean of its divisors is an integer number (9583369200).

Almost surely, 2^638730574272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638730574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073337350400).

638730574272 is an abundant number, since it is smaller than the sum of its proper divisors (1507944126528).

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

638730574272 is a wasteful number, since it uses less digits than its factorization.

638730574272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 638730574272 in words is "six hundred thirty-eight billion, seven hundred thirty million, five hundred seventy-four thousand, two hundred seventy-two".