6807947616 has 120 divisors (see below), whose sum is σ = 20094898824. Its totient is φ = 2261053440.

The previous prime is 6807947591. The next prime is 6807947659. The reversal of 6807947616 is 6167497086.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 728896 + ... + 738176.

Almost surely, 2^6807947616 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 6807947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047449412).

6807947616 is an abundant number, since it is smaller than the sum of its proper divisors (13286951208).

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

6807947616 is a wasteful number, since it uses less digits than its factorization.

6807947616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6807947616 is about 82510.2879403532. The cubic root of 6807947616 is about 1895.2742776141.

The spelling of 6807947616 in words is "six billion, eight hundred seven million, nine hundred forty-seven thousand, six hundred sixteen".