6788265040 has 80 divisors (see below), whose sum is σ = 16190370000. Its totient is φ = 2645360640.

The previous prime is 6788265031. The next prime is 6788265041. The reversal of 6788265040 is 405628876.

It can be written as a sum of positive squares in 8 ways, for example, as 1512276544 + 5275988496 = 38888^2 + 72636^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788265041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095892 + ... + 4097548.

It is an arithmetic number, because the mean of its divisors is an integer number (202379625).

Almost surely, 2^6788265040 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 6788265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095185000).

6788265040 is an abundant number, since it is smaller than the sum of its proper divisors (9402104960).

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

6788265040 is a wasteful number, since it uses less digits than its factorization.

6788265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 6788265040 is about 82390.9281413919. The cubic root of 6788265040 is about 1893.4460277540.

The spelling of 6788265040 in words is "six billion, seven hundred eighty-eight million, two hundred sixty-five thousand, forty".