6577789680 has 400 divisors, whose sum is σ = 28485033984. Its totient is φ = 1366709760.

The previous prime is 6577789577. The next prime is 6577789693. The reversal of 6577789680 is 869877756.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 492369 + ... + 505551.

Almost surely, 2^6577789680 is an apocalyptic number.

6577789680 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 6577789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242516992).

6577789680 is an abundant number, since it is smaller than the sum of its proper divisors (21907244304).

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

6577789680 is a wasteful number, since it uses less digits than its factorization.

6577789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 6577789680 is about 81103.5737806911. The cubic root of 6577789680 is about 1873.6709685828.

The spelling of 6577789680 in words is "six billion, five hundred seventy-seven million, seven hundred eighty-nine thousand, six hundred eighty".