4868701085976 has 1536 divisors, whose sum is σ = 17690835456000. Its totient is φ = 1080093966336.

The previous prime is 4868701085933. The next prime is 4868701085981. The reversal of 4868701085976 is 6795801078684.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 4868701085976.

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, 54704506540 + ... + 54704506628.

It is an arithmetic number, because the mean of its divisors is an integer number (11517471000).

Almost surely, 2^{4868701085976} is an apocalyptic number.

4868701085976 is a gapful number since it is divisible by the number (46) 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 4868701085976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845417728000).

4868701085976 is an abundant number, since it is smaller than the sum of its proper divisors (12822134370024).

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

4868701085976 is a wasteful number, since it uses less digits than its factorization.

4868701085976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 4868701085976 in words is "four trillion, eight hundred sixty-eight billion, seven hundred one million, eighty-five thousand, nine hundred seventy-six".