638769970800 has 1080 divisors, whose sum is σ = 2511734040816. Its totient is φ = 149347860480.

The previous prime is 638769970753. The next prime is 638769970819. The reversal of 638769970800 is 8079967836.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 5652831544 + ... + 5652831656.

Almost surely, 2^638769970800 is an apocalyptic number.

638769970800 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 638769970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255867020408).

638769970800 is an abundant number, since it is smaller than the sum of its proper divisors (1872964070016).

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

638769970800 is a wasteful number, since it uses less digits than its factorization.

638769970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 638769970800 in words is "six hundred thirty-eight billion, seven hundred sixty-nine million, nine hundred seventy thousand, eight hundred".