6760765440 has 1152 divisors, whose sum is σ = 30050092800. Its totient is φ = 1433272320.

The previous prime is 6760765409. The next prime is 6760765457. The reversal of 6760765440 is 445670676.

It is a happy number.

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 a congruent number.

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, 355829751 + ... + 355829769.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^6760765440 is an apocalyptic number.

6760765440 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 6760765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

6760765440 is an abundant number, since it is smaller than the sum of its proper divisors (23289327360).

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

6760765440 is a wasteful number, since it uses less digits than its factorization.

6760765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6760765440 is about 82223.8739053324. The cubic root of 6760765440 is about 1890.8857526257.

The spelling of 6760765440 in words is "six billion, seven hundred sixty million, seven hundred sixty-five thousand, four hundred forty".