6540331392 has 896 divisors, whose sum is σ = 25686374400. Its totient is φ = 1612431360.

The previous prime is 6540331379. The next prime is 6540331393. The reversal of 6540331392 is 2931330456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540331393) 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 111 ways as a sum of consecutive naturals, for example, 210978417 + ... + 210978447.

Almost surely, 2^6540331392 is an apocalyptic number.

6540331392 is a gapful number since it is divisible by the number (62) 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 6540331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843187200).

6540331392 is an abundant number, since it is smaller than the sum of its proper divisors (19146043008).

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

6540331392 is a wasteful number, since it uses less digits than its factorization.

6540331392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

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

The square root of 6540331392 is about 80872.3153619333. The cubic root of 6540331392 is about 1870.1075549870.

The spelling of 6540331392 in words is "six billion, five hundred forty million, three hundred thirty-one thousand, three hundred ninety-two".