638005001004 has 288 divisors, whose sum is σ = 1966899916800. Its totient is φ = 175013498880.

The previous prime is 638005000991. The next prime is 638005001041. The reversal of 638005001004 is 400100500836.

It is a super-2 number, since 2×638005001004² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 452806252 + ... + 452807660.

It is an arithmetic number, because the mean of its divisors is an integer number (6829513600).

Almost surely, 2^638005001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638005001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983449958400).

638005001004 is an abundant number, since it is smaller than the sum of its proper divisors (1328894915796).

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

638005001004 is a wasteful number, since it uses less digits than its factorization.

638005001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 638005001004 in words is "six hundred thirty-eight billion, five million, one thousand, four".