6577983433728 has 1584 divisors, whose sum is σ = 24604352756640. Its totient is φ = 1730019852288.

The previous prime is 6577983433717. The next prime is 6577983433751. The reversal of 6577983433728 is 8273343897756.

It is a happy number.

6577983433728 is a `hidden beast` number, since 6 + 57 + 79 + 8 + 3 + 433 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20750736226 + ... + 20750736542.

Almost surely, 2^{6577983433728} is an apocalyptic number.

6577983433728 is a gapful number since it is divisible by the number (68) 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 6577983433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302176378320).

6577983433728 is an abundant number, since it is smaller than the sum of its proper divisors (18026369322912).

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

6577983433728 is a wasteful number, since it uses less digits than its factorization.

6577983433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 399 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 6577983433728 in words is "six trillion, five hundred seventy-seven billion, nine hundred eighty-three million, four hundred thirty-three thousand, seven hundred twenty-eight".