638743919935104 has 384 divisors, whose sum is σ = 1976754939494400. Its totient is φ = 197337266178048.

The previous prime is 638743919935103. The next prime is 638743919935129. The reversal of 638743919935104 is 401539919347836.

It is a happy number.

638743919935104 is a `hidden beast` number, since 6 + 3 + 8 + 7 + 4 + 3 + 9 + 19 + 93 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (638743919935103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574802177 + ... + 2575050239.

It is an arithmetic number, because the mean of its divisors is an integer number (5147799321600).

Almost surely, 2^{638743919935104} is an apocalyptic number.

638743919935104 is a gapful number since it is divisible by the number (64) 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 638743919935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988377469747200).

638743919935104 is an abundant number, since it is smaller than the sum of its proper divisors (1338011019559296).

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

638743919935104 is a wasteful number, since it uses less digits than its factorization.

638743919935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250652 (or 250637 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 638743919935104 in words is "six hundred thirty-eight trillion, seven hundred forty-three billion, nine hundred nineteen million, nine hundred thirty-five thousand, one hundred four".