1663817472 has 216 divisors, whose sum is σ = 5139768816. Its totient is φ = 515801088.

The previous prime is 1663817431. The next prime is 1663817503. The reversal of 1663817472 is 2747183661.

1663817472 is a `hidden beast` number, since 1 + 6 + 638 + 1 + 7 + 4 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4190778 + ... + 4191174.

It is an arithmetic number, because the mean of its divisors is an integer number (23795226).

Almost surely, 2^1663817472 is an apocalyptic number.

1663817472 is a gapful number since it is divisible by the number (12) 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 1663817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569884408).

1663817472 is an abundant number, since it is smaller than the sum of its proper divisors (3475951344).

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

1663817472 is a wasteful number, since it uses less digits than its factorization.

1663817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1663817472 is about 40789.9187545158. The cubic root of 1663817472 is about 1184.9550973746.

The spelling of 1663817472 in words is "one billion, six hundred sixty-three million, eight hundred seventeen thousand, four hundred seventy-two".