6677381804100 has 144 divisors (see below), whose sum is σ = 22107585107328. Its totient is φ = 1524343311360.

The previous prime is 6677381803991. The next prime is 6677381804117. The reversal of 6677381804100 is 14081837766.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321097 + ... + 3668496.

Almost surely, 2^{6677381804100} is an apocalyptic number.

6677381804100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677381804100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053792553664).

6677381804100 is an abundant number, since it is smaller than the sum of its proper divisors (15430203303228).

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

6677381804100 is a wasteful number, since it uses less digits than its factorization.

6677381804100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990414 (or 3990407 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 6677381804100 in words is "six trillion, six hundred seventy-seven billion, three hundred eighty-one million, eight hundred four thousand, one hundred".