4679736768 has 588 divisors, whose sum is σ = 17090410320. Its totient is φ = 1264564224.

The previous prime is 4679736751. The next prime is 4679736797. The reversal of 4679736768 is 8676379764.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 83 ways as a sum of consecutive naturals, for example, 52581268 + ... + 52581356.

Almost surely, 2^4679736768 is an apocalyptic number.

4679736768 is a gapful number since it is divisible by the number (48) 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 4679736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545205160).

4679736768 is an abundant number, since it is smaller than the sum of its proper divisors (12410673552).

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

4679736768 is an equidigital number, since it uses as much as digits as its factorization.

4679736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The square root of 4679736768 is about 68408.6015644232. The cubic root of 4679736768 is about 1672.6579601055.

The spelling of 4679736768 in words is "four billion, six hundred seventy-nine million, seven hundred thirty-six thousand, seven hundred sixty-eight".