4868307968688 has 320 divisors, whose sum is σ = 14815789824000. Its totient is φ = 1527363661824.

The previous prime is 4868307968659. The next prime is 4868307968701. The reversal of 4868307968688 is 8868697038684.

4868307968688 is a `hidden beast` number, since 486 + 8 + 3 + 0 + 79 + 6 + 8 + 68 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318411348 + ... + 318426636.

It is an arithmetic number, because the mean of its divisors is an integer number (46299343200).

Almost surely, 2^{4868307968688} is an apocalyptic number.

4868307968688 is a gapful number since it is divisible by the number (48) 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 4868307968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407894912000).

4868307968688 is an abundant number, since it is smaller than the sum of its proper divisors (9947481855312).

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

4868307968688 is a wasteful number, since it uses less digits than its factorization.

4868307968688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15841 (or 15829 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 4868307968688 in words is "four trillion, eight hundred sixty-eight billion, three hundred seven million, nine hundred sixty-eight thousand, six hundred eighty-eight".