6773405760 has 896 divisors, whose sum is σ = 28558540800. Its totient is φ = 1505433600.

The previous prime is 6773405759. The next prime is 6773405783. The reversal of 6773405760 is 675043776.

6773405760 is a `hidden beast` number, since 6 + 7 + 73 + 4 + 0 + 576 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 218496945 + ... + 218496975.

Almost surely, 2^6773405760 is an apocalyptic number.

6773405760 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 6773405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279270400).

6773405760 is an abundant number, since it is smaller than the sum of its proper divisors (21785135040).

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

6773405760 is a wasteful number, since it uses less digits than its factorization.

6773405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 6773405760 is about 82300.7032776756. The cubic root of 6773405760 is about 1892.0634555966.

The spelling of 6773405760 in words is "six billion, seven hundred seventy-three million, four hundred five thousand, seven hundred sixty".