6780824610 has 128 divisors (see below), whose sum is σ = 19232985600. Its totient is φ = 1497636864.

The previous prime is 6780824597. The next prime is 6780824621. The reversal of 6780824610 is 164280876.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1154802 + ... + 1160658.

It is an arithmetic number, because the mean of its divisors is an integer number (150257700).

Almost surely, 2^6780824610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780824610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616492800).

6780824610 is an abundant number, since it is smaller than the sum of its proper divisors (12452160990).

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

6780824610 is a wasteful number, since it uses less digits than its factorization.

6780824610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 6780824610 is about 82345.7625503584. The cubic root of 6780824610 is about 1892.7539902030.

The spelling of 6780824610 in words is "six billion, seven hundred eighty million, eight hundred twenty-four thousand, six hundred ten".