7949785816 has 64 divisors (see below), whose sum is σ = 17267443200. Its totient is φ = 3360745728.

The previous prime is 7949785771. The next prime is 7949785817. The reversal of 7949785816 is 6185879497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949785817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4940020 + ... + 4941628.

It is an arithmetic number, because the mean of its divisors is an integer number (269803800).

Almost surely, 2^7949785816 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 7949785816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633721600).

7949785816 is an abundant number, since it is smaller than the sum of its proper divisors (9317657384).

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

7949785816 is a wasteful number, since it uses less digits than its factorization.

7949785816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2764 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 64.

The square root of 7949785816 is about 89161.5714083147. The cubic root of 7949785816 is about 1995.8066989242.

The spelling of 7949785816 in words is "seven billion, nine hundred forty-nine million, seven hundred eighty-five thousand, eight hundred sixteen".