4663610640 has 800 divisors, whose sum is σ = 19056280320. Its totient is φ = 1047416832.

The previous prime is 4663610593. The next prime is 4663610687. The reversal of 4663610640 is 460163664.

4663610640 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 6 + 1 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4663610593) and next prime (4663610687).

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 = 4663610595 and 4663610604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56188039 + ... + 56188121.

Almost surely, 2^4663610640 is an apocalyptic number.

4663610640 is a gapful number since it is divisible by the number (40) 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 4663610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528140160).

4663610640 is an abundant number, since it is smaller than the sum of its proper divisors (14392669680).

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

4663610640 is a wasteful number, since it uses less digits than its factorization.

4663610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4663610640 is about 68290.6336183814. The cubic root of 4663610640 is about 1670.7344517089.

The spelling of 4663610640 in words is "four billion, six hundred sixty-three million, six hundred ten thousand, six hundred forty".