6807265920 has 1152 divisors, whose sum is σ = 30982573440. Its totient is φ = 1397440512.

The previous prime is 6807265897. The next prime is 6807265921. The reversal of 6807265920 is 295627086.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6807265921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183980142 + ... + 183980178.

It is an arithmetic number, because the mean of its divisors is an integer number (26894595).

Almost surely, 2^6807265920 is an apocalyptic number.

6807265920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491286720).

6807265920 is an abundant number, since it is smaller than the sum of its proper divisors (24175307520).

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

6807265920 is a wasteful number, since it uses less digits than its factorization.

6807265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6807265920 is about 82506.1568611701. The cubic root of 6807265920 is about 1895.2110160609.

The spelling of 6807265920 in words is "six billion, eight hundred seven million, two hundred sixty-five thousand, nine hundred twenty".