638475626160 has 120 divisors (see below), whose sum is σ = 2168306487360. Its totient is φ = 168347114496.

The previous prime is 638475626143. The next prime is 638475626167. The reversal of 638475626160 is 61626574836.

638475626160 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 7 + 5 + 626 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×638475626160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 638475626097 and 638475626106.

It is not an unprimeable number, because it can be changed into a prime (638475626167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4917784 + ... + 5045943.

It is an arithmetic number, because the mean of its divisors is an integer number (18069220728).

Almost surely, 2^638475626160 is an apocalyptic number.

638475626160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

638475626160 is an abundant number, since it is smaller than the sum of its proper divisors (1529830861200).

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

638475626160 is a wasteful number, since it uses less digits than its factorization.

638475626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963835 (or 9963826 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 638475626160 in words is "six hundred thirty-eight billion, four hundred seventy-five million, six hundred twenty-six thousand, one hundred sixty".