2068760736 has 480 divisors, whose sum is σ = 7771800960. Its totient is φ = 525533184.

The previous prime is 2068760731. The next prime is 2068760747. The reversal of 2068760736 is 6370678602.

2068760736 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 7 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2068760691 and 2068760700.

It is not an unprimeable number, because it can be changed into a prime (2068760731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5860336 + ... + 5860688.

It is an arithmetic number, because the mean of its divisors is an integer number (16191252).

Almost surely, 2^2068760736 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 2068760736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885900480).

2068760736 is an abundant number, since it is smaller than the sum of its proper divisors (5703040224).

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

2068760736 is a wasteful number, since it uses less digits than its factorization.

2068760736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2068760736 is about 45483.6315172832. The cubic root of 2068760736 is about 1274.1975185558.

The spelling of 2068760736 in words is "two billion, sixty-eight million, seven hundred sixty thousand, seven hundred thirty-six".