6675577395300 has 432 divisors, whose sum is σ = 24802932510720. Its totient is φ = 1483689312000.

The previous prime is 6675577395293. The next prime is 6675577395367. The reversal of 6675577395300 is 35937755766.

6675577395300 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 577 + 3 + 9 + 53 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5258689 + ... + 6403511.

Almost surely, 2^{6675577395300} is an apocalyptic number.

6675577395300 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 6675577395300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401466255360).

6675577395300 is an abundant number, since it is smaller than the sum of its proper divisors (18127355115420).

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

6675577395300 is a wasteful number, since it uses less digits than its factorization.

6675577395300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144904 (or 1144894 counting only the distinct ones).

The product of its (nonzero) digits is 125023500, while the sum is 63.

The spelling of 6675577395300 in words is "six trillion, six hundred seventy-five billion, five hundred seventy-seven million, three hundred ninety-five thousand, three hundred".