2007438768 has 160 divisors (see below), whose sum is σ = 6100800000. Its totient is φ = 630229248.

The previous prime is 2007438739. The next prime is 2007438773. The reversal of 2007438768 is 8678347002.

It is a happy number.

2007438768 is a `hidden beast` number, since 200 + 7 + 4 + 387 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632778 + ... + 1634006.

It is an arithmetic number, because the mean of its divisors is an integer number (38130000).

Almost surely, 2^2007438768 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 2007438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050400000).

2007438768 is an abundant number, since it is smaller than the sum of its proper divisors (4093361232).

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

2007438768 is a wasteful number, since it uses less digits than its factorization.

2007438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2007438768 is about 44804.4503146730. The cubic root of 2007438768 is about 1261.4811606717.

The spelling of 2007438768 in words is "two billion, seven million, four hundred thirty-eight thousand, seven hundred sixty-eight".