6540284520 has 1024 divisors, whose sum is σ = 29196288000. Its totient is φ = 1262822400.

The previous prime is 6540284507. The next prime is 6540284521. The reversal of 6540284520 is 254820456.

It is a happy number.

6540284520 is a `hidden beast` number, since 6 + 54 + 0 + 2 + 84 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6540284521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110852251 + ... + 110852309.

It is an arithmetic number, because the mean of its divisors is an integer number (28512000).

Almost surely, 2^6540284520 is an apocalyptic number.

6540284520 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 6540284520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598144000).

6540284520 is an abundant number, since it is smaller than the sum of its proper divisors (22656003480).

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

6540284520 is a wasteful number, since it uses less digits than its factorization.

6540284520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6540284520 is about 80872.0255712691. The cubic root of 6540284520 is about 1870.1030875329.

The spelling of 6540284520 in words is "six billion, five hundred forty million, two hundred eighty-four thousand, five hundred twenty".