6577532640 has 768 divisors, whose sum is σ = 28159488000. Its totient is φ = 1430618112.

The previous prime is 6577532639. The next prime is 6577532657. The reversal of 6577532640 is 462357756.

6577532640 is a `hidden beast` number, since 6 + 5 + 77 + 532 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34080384 + ... + 34080576.

It is an arithmetic number, because the mean of its divisors is an integer number (36666000).

Almost surely, 2^6577532640 is an apocalyptic number.

6577532640 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 6577532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744000).

6577532640 is an abundant number, since it is smaller than the sum of its proper divisors (21581955360).

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

6577532640 is a wasteful number, since it uses less digits than its factorization.

6577532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 6577532640 is about 81101.9891248051. The cubic root of 6577532640 is about 1873.6465624787.

The spelling of 6577532640 in words is "six billion, five hundred seventy-seven million, five hundred thirty-two thousand, six hundred forty".