6782106716 has 96 divisors (see below), whose sum is σ = 15630827520. Its totient is φ = 2497521600.

The previous prime is 6782106703. The next prime is 6782106719. The reversal of 6782106716 is 6176012876.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782106719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402305 + ... + 418823.

It is an arithmetic number, because the mean of its divisors is an integer number (162821120).

Almost surely, 2^6782106716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782106716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815413760).

6782106716 is an abundant number, since it is smaller than the sum of its proper divisors (8848720804).

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

6782106716 is a wasteful number, since it uses less digits than its factorization.

6782106716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 6782106716 is about 82353.5470760064. The cubic root of 6782106716 is about 1892.8732755140.

The spelling of 6782106716 in words is "six billion, seven hundred eighty-two million, one hundred six thousand, seven hundred sixteen".