4876031664000 has 3072 divisors, whose sum is σ = 22361894830080. Its totient is φ = 992673792000.

The previous prime is 4876031663957. The next prime is 4876031664019. The reversal of 4876031664000 is 4661306784.

It is a happy number.

4876031664000 is a `hidden beast` number, since 4 + 87 + 6 + 0 + 3 + 166 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 35591471932 + ... + 35591472068.

It is an arithmetic number, because the mean of its divisors is an integer number (7279262640).

Almost surely, 2^{4876031664000} is an apocalyptic number.

4876031664000 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 4876031664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180947415040).

4876031664000 is an abundant number, since it is smaller than the sum of its proper divisors (17485863166080).

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

4876031664000 is a wasteful number, since it uses less digits than its factorization.

4876031664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4876031664000 in words is "four trillion, eight hundred seventy-six billion, thirty-one million, six hundred sixty-four thousand".