6540933060 has 144 divisors (see below), whose sum is σ = 20611281600. Its totient is φ = 1741233024.

The previous prime is 6540933053. The next prime is 6540933101. The reversal of 6540933060 is 603390456.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5194711 + ... + 5195969.

It is an arithmetic number, because the mean of its divisors is an integer number (143133900).

Almost surely, 2^6540933060 is an apocalyptic number.

6540933060 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 6540933060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305640800).

6540933060 is an abundant number, since it is smaller than the sum of its proper divisors (14070348540).

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

6540933060 is a wasteful number, since it uses less digits than its factorization.

6540933060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 6540933060 is about 80876.0351402070. The cubic root of 6540933060 is about 1870.1648991440.

The spelling of 6540933060 in words is "six billion, five hundred forty million, nine hundred thirty-three thousand, sixty".