6577784640 has 336 divisors, whose sum is σ = 26750954880. Its totient is φ = 1451520000.

The previous prime is 6577784623. The next prime is 6577784657. The reversal of 6577784640 is 464877756.

6577784640 is a `hidden beast` number, since 6 + 577 + 7 + 8 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6577784623) and next prime (6577784657).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579015 + ... + 590265.

Almost surely, 2^6577784640 is an apocalyptic number.

6577784640 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 6577784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375477440).

6577784640 is an abundant number, since it is smaller than the sum of its proper divisors (20173170240).

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

6577784640 is a wasteful number, since it uses less digits than its factorization.

6577784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 6577784640 is about 81103.5427093046. The cubic root of 6577784640 is about 1873.6704900379.

The spelling of 6577784640 in words is "six billion, five hundred seventy-seven million, seven hundred eighty-four thousand, six hundred forty".