638467968600 has 1728 divisors, whose sum is σ = 2846678515200. Its totient is φ = 129330432000.

The previous prime is 638467968577. The next prime is 638467968601. The reversal of 638467968600 is 6869764836.

638467968600 is a `hidden beast` number, since 6 + 3 + 8 + 467 + 96 + 86 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638467968601) 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 431 ways as a sum of consecutive naturals, for example, 7173797356 + ... + 7173797444.

It is an arithmetic number, because the mean of its divisors is an integer number (1647383400).

Almost surely, 2^638467968600 is an apocalyptic number.

638467968600 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 638467968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423339257600).

638467968600 is an abundant number, since it is smaller than the sum of its proper divisors (2208210546600).

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

638467968600 is a wasteful number, since it uses less digits than its factorization.

638467968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 638467968600 in words is "six hundred thirty-eight billion, four hundred sixty-seven million, nine hundred sixty-eight thousand, six hundred".