4823676000 has 576 divisors, whose sum is σ = 20133562176. Its totient is φ = 1078272000.

The previous prime is 4823675993. The next prime is 4823676001. The reversal of 4823676000 is 6763284.

4823676000 is a `hidden beast` number, since 48 + 2 + 3 + 6 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4823676001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5147532 + ... + 5148468.

It is an arithmetic number, because the mean of its divisors is an integer number (34954101).

Almost surely, 2^4823676000 is an apocalyptic number.

4823676000 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 4823676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066781088).

4823676000 is an abundant number, since it is smaller than the sum of its proper divisors (15309886176).

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

4823676000 is a wasteful number, since it uses less digits than its factorization.

4823676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4823676000 is about 69452.6889328268. The cubic root of 4823676000 is about 1689.6342707301.

The spelling of 4823676000 in words is "four billion, eight hundred twenty-three million, six hundred seventy-six thousand".