638634510800 has 120 divisors (see below), whose sum is σ = 1802557233120. Its totient is φ = 214366809600.

The previous prime is 638634510791. The next prime is 638634510817. The reversal of 638634510800 is 8015436836.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 5525270 + ... + 5639669.

It is an arithmetic number, because the mean of its divisors is an integer number (15021310276).

Almost surely, 2^638634510800 is an apocalyptic number.

It is an amenable number.

638634510800 is an abundant number, since it is smaller than the sum of its proper divisors (1163922722320).

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

638634510800 is a wasteful number, since it uses less digits than its factorization.

638634510800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164981 (or 11164970 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 638634510800 in words is "six hundred thirty-eight billion, six hundred thirty-four million, five hundred ten thousand, eight hundred".