4876704589824 has 864 divisors, whose sum is σ = 15932248736040. Its totient is φ = 1486016741376.

The previous prime is 4876704589817. The next prime is 4876704589871. The reversal of 4876704589824 is 4289854076784.

4876704589824 is a `hidden beast` number, since 4 + 8 + 7 + 67 + 0 + 458 + 98 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4353732633600 + 522971956224 = 2086560^2 + 723168^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8451827424 + ... + 8451828000.

Almost surely, 2^{4876704589824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4876704589824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966124368020).

4876704589824 is an abundant number, since it is smaller than the sum of its proper divisors (11055544146216).

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

4876704589824 is an frugal number, since it uses more digits than its factorization.

4876704589824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 4876704589824 in words is "four trillion, eight hundred seventy-six billion, seven hundred four million, five hundred eighty-nine thousand, eight hundred twenty-four".