6577045776000 has 4608 divisors, whose sum is σ = 31693648896000. Its totient is φ = 1345036492800.

The previous prime is 6577045775983. The next prime is 6577045776011. The reversal of 6577045776000 is 6775407756.

6577045776000 is a `hidden beast` number, since 6 + 5 + 7 + 7 + 0 + 4 + 577 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×6577045776000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83253743961 + ... + 83253744039.

It is an arithmetic number, because the mean of its divisors is an integer number (6877962000).

Almost surely, 2^{6577045776000} is an apocalyptic number.

6577045776000 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 6577045776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846824448000).

6577045776000 is an abundant number, since it is smaller than the sum of its proper divisors (25116603120000).

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

6577045776000 is a wasteful number, since it uses less digits than its factorization.

6577045776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 6577045776000 in words is "six trillion, five hundred seventy-seven billion, forty-five million, seven hundred seventy-six thousand".