6577397061120 has 320 divisors, whose sum is σ = 23474241838080. Its totient is φ = 1745656012800.

The previous prime is 6577397061089. The next prime is 6577397061121. The reversal of 6577397061120 is 211607937756.

6577397061120 is a `hidden beast` number, since 6 + 5 + 77 + 397 + 0 + 61 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577397061121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14358825 + ... + 14809815.

It is an arithmetic number, because the mean of its divisors is an integer number (73357005744).

Almost surely, 2^{6577397061120} is an apocalyptic number.

6577397061120 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 6577397061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737120919040).

6577397061120 is an abundant number, since it is smaller than the sum of its proper divisors (16896844776960).

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

6577397061120 is a wasteful number, since it uses less digits than its factorization.

6577397061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451234 (or 451212 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 6577397061120 in words is "six trillion, five hundred seventy-seven billion, three hundred ninety-seven million, sixty-one thousand, one hundred twenty".