6765260040 has 384 divisors, whose sum is σ = 27652734720. Its totient is φ = 1405071360.

The previous prime is 6765260039. The next prime is 6765260059. The reversal of 6765260040 is 400625676.

6765260040 is a `hidden beast` number, since 6 + 7 + 6 + 5 + 2 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6765259977 and 6765260004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3353112 + ... + 3355128.

It is an arithmetic number, because the mean of its divisors is an integer number (72012330).

Almost surely, 2^6765260040 is an apocalyptic number.

6765260040 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 6765260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826367360).

6765260040 is an abundant number, since it is smaller than the sum of its proper divisors (20887474680).

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

6765260040 is a wasteful number, since it uses less digits than its factorization.

6765260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6765260040 is about 82251.2008422977. The cubic root of 6765260040 is about 1891.3046841075.

The spelling of 6765260040 in words is "six billion, seven hundred sixty-five million, two hundred sixty thousand, forty".