4959716832 has 240 divisors, whose sum is σ = 17548755840. Its totient is φ = 1342386432.

The previous prime is 4959716791. The next prime is 4959716887. The reversal of 4959716832 is 2386179594.

4959716832 is a `hidden beast` number, since 4 + 9 + 597 + 16 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337543 + ... + 351929.

It is an arithmetic number, because the mean of its divisors is an integer number (73119816).

Almost surely, 2^4959716832 is an apocalyptic number.

4959716832 is a gapful number since it is divisible by the number (42) 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 4959716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774377920).

4959716832 is an abundant number, since it is smaller than the sum of its proper divisors (12589039008).

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

4959716832 is a wasteful number, since it uses less digits than its factorization.

4959716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14418 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 4959716832 is about 70425.2570602337. The cubic root of 4959716832 is about 1705.3713420211.

The spelling of 4959716832 in words is "four billion, nine hundred fifty-nine million, seven hundred sixteen thousand, eight hundred thirty-two".