638495006392320 has 2432 divisors, whose sum is σ = 2675750931873792. Its totient is φ = 126065678745600.

The previous prime is 638495006392301. The next prime is 638495006392381. The reversal of 638495006392320 is 23293600594836.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1928987934555 + ... + 1928987934885.

Almost surely, 2^{638495006392320} is an apocalyptic number.

638495006392320 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 638495006392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337875465936896).

638495006392320 is an abundant number, since it is smaller than the sum of its proper divisors (2037255925481472).

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

638495006392320 is a wasteful number, since it uses less digits than its factorization.

638495006392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 638495006392320 in words is "six hundred thirty-eight trillion, four hundred ninety-five billion, six million, three hundred ninety-two thousand, three hundred twenty".