4959682560 has 540 divisors, whose sum is σ = 20303481744. Its totient is φ = 1097072640.

The previous prime is 4959682543. The next prime is 4959682577. The reversal of 4959682560 is 652869594.

It is a happy number.

4959682560 is a `hidden beast` number, since 49 + 596 + 8 + 2 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4959682543) and next prime (4959682577).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4959682497 and 4959682506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159989745 + ... + 159989775.

Almost surely, 2^4959682560 is an apocalyptic number.

4959682560 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 4959682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151740872).

4959682560 is an abundant number, since it is smaller than the sum of its proper divisors (15343799184).

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

4959682560 is an equidigital number, since it uses as much as digits as its factorization.

4959682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 4959682560 is about 70425.0137380178. The cubic root of 4959682560 is about 1705.3674139325.

The spelling of 4959682560 in words is "four billion, nine hundred fifty-nine million, six hundred eighty-two thousand, five hundred sixty".