4680600686208 has 384 divisors, whose sum is σ = 13781421388800. Its totient is φ = 1524504084480.

The previous prime is 4680600686171. The next prime is 4680600686231. The reversal of 4680600686208 is 8026860060864.

It is a happy number.

4680600686208 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 6 + 0 + 0 + 6 + 8 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266727516 + ... + 4266728612.

It is an arithmetic number, because the mean of its divisors is an integer number (35889118200).

Almost surely, 2^{4680600686208} is an apocalyptic number.

4680600686208 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 4680600686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890710694400).

4680600686208 is an abundant number, since it is smaller than the sum of its proper divisors (9100820702592).

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

4680600686208 is a wasteful number, since it uses less digits than its factorization.

4680600686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4680600686208 in words is "four trillion, six hundred eighty billion, six hundred million, six hundred eighty-six thousand, two hundred eight".