6540500736 has 288 divisors, whose sum is σ = 24115929600. Its totient is φ = 1698693120.

The previous prime is 6540500723. The next prime is 6540500737. The reversal of 6540500736 is 6370050456.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6540500736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540500737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526080 + ... + 538368.

Almost surely, 2^6540500736 is an apocalyptic number.

6540500736 is a gapful number since it is divisible by the number (66) 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 6540500736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057964800).

6540500736 is an abundant number, since it is smaller than the sum of its proper divisors (17575428864).

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

6540500736 is a wasteful number, since it uses less digits than its factorization.

6540500736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6540500736 is about 80873.3623389061. The cubic root of 6540500736 is about 1870.1236952884.

The spelling of 6540500736 in words is "six billion, five hundred forty million, five hundred thousand, seven hundred thirty-six".