1663447824 has 120 divisors (see below), whose sum is σ = 5022582552. Its totient is φ = 511979520.

The previous prime is 1663447823. The next prime is 1663447843. The reversal of 1663447824 is 4287443661.

1663447824 is a `hidden beast` number, since 1 + 6 + 634 + 4 + 7 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230068224 + 1433379600 = 15168^2 + 37860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1663447824.

It is not an unprimeable number, because it can be changed into a prime (1663447823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123334 + ... + 136154.

Almost surely, 2^1663447824 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 1663447824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511291276).

1663447824 is an abundant number, since it is smaller than the sum of its proper divisors (3359134728).

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

1663447824 is a wasteful number, since it uses less digits than its factorization.

1663447824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12905 (or 12896 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 1663447824 is about 40785.3873832283. The cubic root of 1663447824 is about 1184.8673376030.

The spelling of 1663447824 in words is "one billion, six hundred sixty-three million, four hundred forty-seven thousand, eight hundred twenty-four".