6577536000 has 352 divisors, whose sum is σ = 25015191552. Its totient is φ = 1502822400.

The previous prime is 6577535963. The next prime is 6577536001. The reversal of 6577536000 is 6357756.

It is a self number, because there is not a number n which added to its sum of digits gives 6577536000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577536001) 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, 2686777 + ... + 2689223.

Almost surely, 2^6577536000 is an apocalyptic number.

6577536000 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 6577536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507595776).

6577536000 is an abundant number, since it is smaller than the sum of its proper divisors (18437655552).

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

6577536000 is a wasteful number, since it uses less digits than its factorization.

6577536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 6577536000 is about 81102.0098394608. The cubic root of 6577536000 is about 1873.6468815169.

The spelling of 6577536000 in words is "six billion, five hundred seventy-seven million, five hundred thirty-six thousand".