1638050000 has 90 divisors (see below), whose sum is σ = 3988936098. Its totient is φ = 651600000.

The previous prime is 1638049991. The next prime is 1638050027. The reversal of 1638050000 is 508361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 1050278464 + 587771536 = 32408^2 + 24244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9049910 + ... + 9050090.

Almost surely, 2^1638050000 is an apocalyptic number.

1638050000 is a gapful number since it is divisible by the number (10) 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 1638050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994468049).

1638050000 is an abundant number, since it is smaller than the sum of its proper divisors (2350886098).

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

1638050000 is an frugal number, since it uses more digits than its factorization.

1638050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1638050000 is about 40472.8303927462. The cubic root of 1638050000 is about 1178.8061275564.

Multiplying 1638050000 by its product of nonzero digits (720), we get a square (1179396000000 = 1086000²).

Adding to 1638050000 its reverse (508361), we get a palindrome (1638558361).

The spelling of 1638050000 in words is "one billion, six hundred thirty-eight million, fifty thousand".