6782630904 has 320 divisors, whose sum is σ = 22440369600. Its totient is φ = 1874036736.

The previous prime is 6782630857. The next prime is 6782630917. The reversal of 6782630904 is 4090362876.

6782630904 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 630 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6782630904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21396154 + ... + 21396470.

It is an arithmetic number, because the mean of its divisors is an integer number (70126155).

Almost surely, 2^6782630904 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 6782630904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220184800).

6782630904 is an abundant number, since it is smaller than the sum of its proper divisors (15657738696).

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

6782630904 is a wasteful number, since it uses less digits than its factorization.

6782630904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6782630904 is about 82356.7295610990. The cubic root of 6782630904 is about 1892.9220408872.

The spelling of 6782630904 in words is "six billion, seven hundred eighty-two million, six hundred thirty thousand, nine hundred four".