6784826760 has 128 divisors (see below), whose sum is σ = 22652784000. Its totient is φ = 1806352128.

The previous prime is 6784826759. The next prime is 6784826773. The reversal of 6784826760 is 676284876.

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

It is a junction number, because it is equal to n+sod(n) for n = 6784826697 and 6784826706.

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, 706954 + ... + 716486.

It is an arithmetic number, because the mean of its divisors is an integer number (176974875).

Almost surely, 2^6784826760 is an apocalyptic number.

6784826760 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 6784826760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326392000).

6784826760 is an abundant number, since it is smaller than the sum of its proper divisors (15867957240).

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

6784826760 is a wasteful number, since it uses less digits than its factorization.

6784826760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 6784826760 is about 82370.0598518661. The cubic root of 6784826760 is about 1893.1262947527.

The spelling of 6784826760 in words is "six billion, seven hundred eighty-four million, eight hundred twenty-six thousand, seven hundred sixty".