6597538668 has 192 divisors, whose sum is σ = 20295475200. Its totient is φ = 1813674240.

The previous prime is 6597538627. The next prime is 6597538681. The reversal of 6597538668 is 8668357956.

6597538668 is a `hidden beast` number, since 6 + 5 + 97 + 538 + 6 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4616178 + ... + 4617606.

It is an arithmetic number, because the mean of its divisors is an integer number (105705600).

Almost surely, 2^6597538668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6597538668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147737600).

6597538668 is an abundant number, since it is smaller than the sum of its proper divisors (13697936532).

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

6597538668 is a wasteful number, since it uses less digits than its factorization.

6597538668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 6597538668 is about 81225.2341824879. The cubic root of 6597538668 is about 1875.5442490476.

The spelling of 6597538668 in words is "six billion, five hundred ninety-seven million, five hundred thirty-eight thousand, six hundred sixty-eight".