638127058743200 has 144 divisors (see below), whose sum is σ = 1684039525572096. Its totient is φ = 234720264883200.

The previous prime is 638127058743071. The next prime is 638127058743211. The reversal of 638127058743200 is 2347850721836.

It is a super-2 number, since 2×638127058743200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113915696 + ... + 119386095.

It is an arithmetic number, because the mean of its divisors is an integer number (11694718927584).

Almost surely, 2^{638127058743200} is an apocalyptic number.

It is an amenable number.

638127058743200 is an abundant number, since it is smaller than the sum of its proper divisors (1045912466828896).

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

638127058743200 is a wasteful number, since it uses less digits than its factorization.

638127058743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233302087 (or 233302074 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 638127058743200 in words is "six hundred thirty-eight trillion, one hundred twenty-seven billion, fifty-eight million, seven hundred forty-three thousand, two hundred".