4608503640 has 256 divisors, whose sum is σ = 16817673600. Its totient is φ = 1115596800.

The previous prime is 4608503623. The next prime is 4608503663. The reversal of 4608503640 is 463058064.

4608503640 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 5 + 0 + 3 + 640 = 666.

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 = 4608503595 and 4608503604.

It is a congruent number.

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, 853750 + ... + 859130.

Almost surely, 2^4608503640 is an apocalyptic number.

4608503640 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 4608503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408836800).

4608503640 is an abundant number, since it is smaller than the sum of its proper divisors (12209169960).

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

4608503640 is a wasteful number, since it uses less digits than its factorization.

4608503640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4608503640 is about 67885.9605515014. The cubic root of 4608503640 is about 1664.1276820093.

The spelling of 4608503640 in words is "four billion, six hundred eight million, five hundred three thousand, six hundred forty".