6593862240 has 768 divisors, whose sum is σ = 27927244800. Its totient is φ = 1421328384.

The previous prime is 6593862173. The next prime is 6593862251. The reversal of 6593862240 is 422683956.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64018029 + ... + 64018131.

It is an arithmetic number, because the mean of its divisors is an integer number (36363600).

Almost surely, 2^6593862240 is an apocalyptic number.

6593862240 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 6593862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963622400).

6593862240 is an abundant number, since it is smaller than the sum of its proper divisors (21333382560).

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

6593862240 is a wasteful number, since it uses less digits than its factorization.

6593862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6593862240 is about 81202.5999583757. The cubic root of 6593862240 is about 1875.1958067511.

The spelling of 6593862240 in words is "six billion, five hundred ninety-three million, eight hundred sixty-two thousand, two hundred forty".