6526781760 has 224 divisors, whose sum is σ = 22371344640. Its totient is φ = 1607237632.

The previous prime is 6526781747. The next prime is 6526781761. The reversal of 6526781760 is 671876256.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6526781761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635224 + ... + 645416.

Almost surely, 2^6526781760 is an apocalyptic number.

6526781760 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 6526781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185672320).

6526781760 is an abundant number, since it is smaller than the sum of its proper divisors (15844562880).

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

6526781760 is a wasteful number, since it uses less digits than its factorization.

6526781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 6526781760 is about 80788.5001717447. The cubic root of 6526781760 is about 1868.8152255769.

The spelling of 6526781760 in words is "six billion, five hundred twenty-six million, seven hundred eighty-one thousand, seven hundred sixty".