6577918464 has 320 divisors, whose sum is σ = 19842729984. Its totient is φ = 1922973696.

The previous prime is 6577918463. The next prime is 6577918493. The reversal of 6577918464 is 4648197756.

It is a super-2 number, since 2×6577918464² = 86538022638064238592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6577918463) 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, 40355247 + ... + 40355409.

Almost surely, 2^6577918464 is an apocalyptic number.

6577918464 is a gapful number since it is divisible by the number (64) 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 6577918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921364992).

6577918464 is an abundant number, since it is smaller than the sum of its proper divisors (13264811520).

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

6577918464 is a wasteful number, since it uses less digits than its factorization.

6577918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 6577918464 is about 81104.3677245560. The cubic root of 6577918464 is about 1873.6831964628.

The spelling of 6577918464 in words is "six billion, five hundred seventy-seven million, nine hundred eighteen thousand, four hundred sixty-four".