6477658830204 has 192 divisors, whose sum is σ = 16386466199040. Its totient is φ = 1985365278720.

The previous prime is 6477658830193. The next prime is 6477658830217. The reversal of 6477658830204 is 4020388567746.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382447624 + ... + 382464560.

It is an arithmetic number, because the mean of its divisors is an integer number (85346178120).

Almost surely, 2^{6477658830204} 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 6477658830204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193233099520).

6477658830204 is an abundant number, since it is smaller than the sum of its proper divisors (9908807368836).

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

6477658830204 is a wasteful number, since it uses less digits than its factorization.

6477658830204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17386 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 6477658830204 in words is "six trillion, four hundred seventy-seven billion, six hundred fifty-eight million, eight hundred thirty thousand, two hundred four".