6577117777600 has 168 divisors, whose sum is σ = 16713726824448. Its totient is φ = 2544785126400.

The previous prime is 6577117777591. The next prime is 6577117777613. The reversal of 6577117777600 is 67777117756.

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 23 ways as a sum of consecutive naturals, for example, 109437159 + ... + 109497241.

Almost surely, 2^{6577117777600} 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 6577117777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356863412224).

6577117777600 is an abundant number, since it is smaller than the sum of its proper divisors (10136609046848).

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

6577117777600 is a wasteful number, since it uses less digits than its factorization.

6577117777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62343 (or 62328 counting only the distinct ones).

The product of its (nonzero) digits is 21176820, while the sum is 61.

The spelling of 6577117777600 in words is "six trillion, five hundred seventy-seven billion, one hundred seventeen million, seven hundred seventy-seven thousand, six hundred".