1638288960 has 448 divisors, whose sum is σ = 6671462400. Its totient is φ = 330670080.

The previous prime is 1638288959. The next prime is 1638288973. The reversal of 1638288960 is 698828361.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734741 + ... + 2735339.

Almost surely, 2^1638288960 is an apocalyptic number.

1638288960 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 1638288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335731200).

1638288960 is an abundant number, since it is smaller than the sum of its proper divisors (5033173440).

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

1638288960 is a wasteful number, since it uses less digits than its factorization.

1638288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 1638288960 is about 40475.7823889792. The cubic root of 1638288960 is about 1178.8634464855.

The spelling of 1638288960 in words is "one billion, six hundred thirty-eight million, two hundred eighty-eight thousand, nine hundred sixty".