4876604489664 has 168 divisors, whose sum is σ = 14069365320192. Its totient is φ = 1614928734720.

The previous prime is 4876604489639. The next prime is 4876604489711. The reversal of 4876604489664 is 4669844066784.

4876604489664 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 604 + 4 + 8 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×4876604489664² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4876604489592 and 4876604489601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63029307 + ... + 63106629.

It is an arithmetic number, because the mean of its divisors is an integer number (83746222144).

Almost surely, 2^{4876604489664} 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 4876604489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034682660096).

4876604489664 is an abundant number, since it is smaller than the sum of its proper divisors (9192760830528).

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

4876604489664 is a wasteful number, since it uses less digits than its factorization.

4876604489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78055 (or 78042 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 4876604489664 in words is "four trillion, eight hundred seventy-six billion, six hundred four million, four hundred eighty-nine thousand, six hundred sixty-four".