4679136000 has 864 divisors, whose sum is σ = 21090940416. Its totient is φ = 967680000.

The previous prime is 4679135987. The next prime is 4679136037. The reversal of 4679136000 is 6319764.

4679136000 is a `hidden beast` number, since 46 + 7 + 9 + 1 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175895 + ... + 22176105.

Almost surely, 2^4679136000 is an apocalyptic number.

4679136000 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 4679136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10545470208).

4679136000 is an abundant number, since it is smaller than the sum of its proper divisors (16411804416).

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

4679136000 is a wasteful number, since it uses less digits than its factorization.

4679136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4679136000 is about 68404.2103967292. The cubic root of 4679136000 is about 1672.5863804113.

The spelling of 4679136000 in words is "four billion, six hundred seventy-nine million, one hundred thirty-six thousand".