6782479704 has 768 divisors, whose sum is σ = 26984448000. Its totient is φ = 1528450560.

The previous prime is 6782479699. The next prime is 6782479757. The reversal of 6782479704 is 4079742876.

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

6782479704 is a modest number, since divided by 79704 gives 67824 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53405289 + ... + 53405415.

It is an arithmetic number, because the mean of its divisors is an integer number (35136000).

Almost surely, 2^6782479704 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 6782479704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492224000).

6782479704 is an abundant number, since it is smaller than the sum of its proper divisors (20201968296).

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

6782479704 is a wasteful number, since it uses less digits than its factorization.

6782479704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 6782479704 is about 82355.8115982108. The cubic root of 6782479704 is about 1892.9079749619.

The spelling of 6782479704 in words is "six billion, seven hundred eighty-two million, four hundred seventy-nine thousand, seven hundred four".