4876704000 has 864 divisors, whose sum is σ = 20891969280. Its totient is φ = 1069056000.

The previous prime is 4876703981. The next prime is 4876704017. The reversal of 4876704000 is 4076784.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82655971 + ... + 82656029.

It is an arithmetic number, because the mean of its divisors is an integer number (24180520).

Almost surely, 2^4876704000 is an apocalyptic number.

4876704000 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 4876704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445984640).

4876704000 is an abundant number, since it is smaller than the sum of its proper divisors (16015265280).

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

4876704000 is a wasteful number, since it uses less digits than its factorization.

4876704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4876704000 is about 69833.4017501654. The cubic root of 4876704000 is about 1695.8032582984.

The spelling of 4876704000 in words is "four billion, eight hundred seventy-six million, seven hundred four thousand".