4986706128768 has 768 divisors, whose sum is σ = 18473147784000. Its totient is φ = 1312638566400.

The previous prime is 4986706128737. The next prime is 4986706128769. The reversal of 4986706128768 is 8678216076894.

4986706128768 is a `hidden beast` number, since 498 + 6 + 7 + 0 + 6 + 128 + 7 + 6 + 8 = 666.

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 = 4986706128696 and 4986706128705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4986706128769) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1323082788 + ... + 1323086556.

Almost surely, 2^{4986706128768} is an apocalyptic number.

4986706128768 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 4986706128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236573892000).

4986706128768 is an abundant number, since it is smaller than the sum of its proper divisors (13486441655232).

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

4986706128768 is a wasteful number, since it uses less digits than its factorization.

4986706128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 4986706128768 in words is "four trillion, nine hundred eighty-six billion, seven hundred six million, one hundred twenty-eight thousand, seven hundred sixty-eight".