6577514328 has 128 divisors (see below), whose sum is σ = 20782609920. Its totient is φ = 1685007360.

The previous prime is 6577514299. The next prime is 6577514341. The reversal of 6577514328 is 8234157756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110526 + ... + 159282.

It is an arithmetic number, because the mean of its divisors is an integer number (162364140).

Almost surely, 2^6577514328 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 6577514328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391304960).

6577514328 is an abundant number, since it is smaller than the sum of its proper divisors (14205095592).

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

6577514328 is a wasteful number, since it uses less digits than its factorization.

6577514328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48857 (or 48853 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 6577514328 is about 81101.8762298382. The cubic root of 6577514328 is about 1873.6448237190.

The spelling of 6577514328 in words is "six billion, five hundred seventy-seven million, five hundred fourteen thousand, three hundred twenty-eight".