6540541700 has 144 divisors (see below), whose sum is σ = 17854107264. Its totient is φ = 2020300800.

The previous prime is 6540541663. The next prime is 6540541757. The reversal of 6540541700 is 71450456.

It is a super-3 number, since 3×6540541700³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866342 + ... + 873858.

It is an arithmetic number, because the mean of its divisors is an integer number (123986856).

Almost surely, 2^6540541700 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 6540541700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927053632).

6540541700 is an abundant number, since it is smaller than the sum of its proper divisors (11313565564).

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

6540541700 is a wasteful number, since it uses less digits than its factorization.

6540541700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 6540541700 is about 80873.6155986611. The cubic root of 6540541700 is about 1870.1275995556.

The spelling of 6540541700 in words is "six billion, five hundred forty million, five hundred forty-one thousand, seven hundred".