6597138240 has 672 divisors, whose sum is σ = 28757514240. Its totient is φ = 1348300800.

The previous prime is 6597138239. The next prime is 6597138263. The reversal of 6597138240 is 428317956.

6597138240 is a `hidden beast` number, since 6 + 597 + 1 + 38 + 24 + 0 = 666.

6597138240 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

6597138240 is strictly pandigital in base 10.

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 95 ways as a sum of consecutive naturals, for example, 15744751 + ... + 15745169.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

It is a 1-persistent number, because it is pandigital, but 2⋅6597138240 = 13194276480 is not.

Almost surely, 2^6597138240 is an apocalyptic number.

6597138240 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 6597138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

6597138240 is an abundant number, since it is smaller than the sum of its proper divisors (22160376000).

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

6597138240 is a wasteful number, since it uses less digits than its factorization.

6597138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6597138240 is about 81222.7692214443. The cubic root of 6597138240 is about 1875.5063038045.

The spelling of 6597138240 in words is "six billion, five hundred ninety-seven million, one hundred thirty-eight thousand, two hundred forty".