4146068736 has 216 divisors, whose sum is σ = 12827898720. Its totient is φ = 1283862528.

The previous prime is 4146068699. The next prime is 4146068737. The reversal of 4146068736 is 6378606414.

It is a happy number.

4146068736 is a `hidden beast` number, since 4 + 1 + 4 + 606 + 8 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4146068691 and 4146068700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146068737) 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 23 ways as a sum of consecutive naturals, for example, 2319235 + ... + 2321021.

It is an arithmetic number, because the mean of its divisors is an integer number (59388420).

Almost surely, 2^4146068736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413949360).

4146068736 is an abundant number, since it is smaller than the sum of its proper divisors (8681829984).

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

4146068736 is a wasteful number, since it uses less digits than its factorization.

4146068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4146068736 is about 64389.9738779261. The cubic root of 4146068736 is about 1606.4929817663.

The spelling of 4146068736 in words is "four billion, one hundred forty-six million, sixty-eight thousand, seven hundred thirty-six".