638000496000 has 1024 divisors, whose sum is σ = 2802752409600. Its totient is φ = 139473100800.

The previous prime is 638000495989. The next prime is 638000496017. The reversal of 638000496000 is 694000836.

638000496000 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 0 + 0 + 49 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 69547414 + ... + 69556586.

It is an arithmetic number, because the mean of its divisors is an integer number (2737062900).

Almost surely, 2^638000496000 is an apocalyptic number.

638000496000 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 638000496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401376204800).

638000496000 is an abundant number, since it is smaller than the sum of its proper divisors (2164751913600).

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

638000496000 is a wasteful number, since it uses less digits than its factorization.

638000496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 638000496000 its reverse (694000836), we get a palindrome (638694496836).

The spelling of 638000496000 in words is "six hundred thirty-eight billion, four hundred ninety-six thousand".