4607068814208 has 320 divisors, whose sum is σ = 15675897066720. Its totient is φ = 1315743989760.

The previous prime is 4607068814197. The next prime is 4607068814213. The reversal of 4607068814208 is 8024188607064.

4607068814208 is a `hidden beast` number, since 4 + 607 + 0 + 6 + 8 + 8 + 1 + 4 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188177328 + ... + 188201808.

Almost surely, 2^{4607068814208} is an apocalyptic number.

4607068814208 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 4607068814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837948533360).

4607068814208 is an abundant number, since it is smaller than the sum of its proper divisors (11068828252512).

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

4607068814208 is a wasteful number, since it uses less digits than its factorization.

4607068814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27107 (or 27086 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4607068814208 in words is "four trillion, six hundred seven billion, sixty-eight million, eight hundred fourteen thousand, two hundred eight".