6577479936 has 180 divisors, whose sum is σ = 20145281772. Its totient is φ = 2132987904.

The previous prime is 6577479929. The next prime is 6577479967. The reversal of 6577479936 is 6399747756.

6577479936 is a `hidden beast` number, since 6 + 5 + 77 + 479 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4180398336 + 2397081600 = 64656^2 + 48960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 762946 + ... + 771518.

Almost surely, 2^6577479936 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 6577479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072640886).

6577479936 is an abundant number, since it is smaller than the sum of its proper divisors (13567801836).

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

6577479936 is an equidigital number, since it uses as much as digits as its factorization.

6577479936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 8615 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The square root of 6577479936 is about 81101.6641999411. The cubic root of 6577479936 is about 1873.6415581234.

The spelling of 6577479936 in words is "six billion, five hundred seventy-seven million, four hundred seventy-nine thousand, nine hundred thirty-six".