6540965900 has 324 divisors, whose sum is σ = 18226958400. Its totient is φ = 2028902400.

The previous prime is 6540965891. The next prime is 6540965909. The reversal of 6540965900 is 95690456.

It is an interprime number because it is at equal distance from previous prime (6540965891) and next prime (6540965909).

It is not an unprimeable number, because it can be changed into a prime (6540965909) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43899026 + ... + 43899174.

Almost surely, 2^6540965900 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 6540965900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113479200).

6540965900 is an abundant number, since it is smaller than the sum of its proper divisors (11685992500).

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

6540965900 is a wasteful number, since it uses less digits than its factorization.

6540965900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 6540965900 is about 80876.2381667199. The cubic root of 6540965900 is about 1870.1680289784.

The spelling of 6540965900 in words is "six billion, five hundred forty million, nine hundred sixty-five thousand, nine hundred".