6577409748 has 288 divisors, whose sum is σ = 20360567808. Its totient is φ = 1635379200.

The previous prime is 6577409743. The next prime is 6577409749. The reversal of 6577409748 is 8479047756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577409743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9715186 + ... + 9715862.

It is an arithmetic number, because the mean of its divisors is an integer number (70696416).

Almost surely, 2^6577409748 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 6577409748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180283904).

6577409748 is an abundant number, since it is smaller than the sum of its proper divisors (13783158060).

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

6577409748 is a wasteful number, since it uses less digits than its factorization.

6577409748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The square root of 6577409748 is about 81101.2314826353. The cubic root of 6577409748 is about 1873.6348935840.

The spelling of 6577409748 in words is "six billion, five hundred seventy-seven million, four hundred nine thousand, seven hundred forty-eight".