5663024640 has 960 divisors, whose sum is σ = 25130641536. Its totient is φ = 1146617856.

The previous prime is 5663024639. The next prime is 5663024641. The reversal of 5663024640 is 464203665.

5663024640 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 0 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5663024639) and next prime (5663024641).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5663024595 and 5663024604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5663024641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77575644 + ... + 77575716.

Almost surely, 2^5663024640 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 5663024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565320768).

5663024640 is an abundant number, since it is smaller than the sum of its proper divisors (19467616896).

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

5663024640 is a wasteful number, since it uses less digits than its factorization.

5663024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5663024640 is about 75253.0706350246. The cubic root of 5663024640 is about 1782.4450512762.

The spelling of 5663024640 in words is "five billion, six hundred sixty-three million, twenty-four thousand, six hundred forty".