6766505856 has 256 divisors, whose sum is σ = 21981081600. Its totient is φ = 2049062400.

The previous prime is 6766505831. The next prime is 6766505909. The reversal of 6766505856 is 6585056676.

6766505856 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 50 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4599201 + ... + 4600671.

It is an arithmetic number, because the mean of its divisors is an integer number (85863600).

Almost surely, 2^6766505856 is an apocalyptic number.

6766505856 is a gapful number since it is divisible by the number (66) 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 6766505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990540800).

6766505856 is an abundant number, since it is smaller than the sum of its proper divisors (15214575744).

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

6766505856 is a wasteful number, since it uses less digits than its factorization.

6766505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The square root of 6766505856 is about 82258.7737326542. The cubic root of 6766505856 is about 1891.4207709495.

The spelling of 6766505856 in words is "six billion, seven hundred sixty-six million, five hundred five thousand, eight hundred fifty-six".