6531409080 has 320 divisors, whose sum is σ = 25505599680. Its totient is φ = 1468108800.

The previous prime is 6531409057. The next prime is 6531409099. The reversal of 6531409080 is 809041356.

6531409080 is a `hidden beast` number, since 6 + 531 + 40 + 9 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1381120 + ... + 1385840.

It is an arithmetic number, because the mean of its divisors is an integer number (79704999).

Almost surely, 2^6531409080 is an apocalyptic number.

6531409080 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 6531409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752799840).

6531409080 is an abundant number, since it is smaller than the sum of its proper divisors (18974190600).

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

6531409080 is a wasteful number, since it uses less digits than its factorization.

6531409080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6531409080 is about 80817.1335794583. The cubic root of 6531409080 is about 1869.2567685174.

The spelling of 6531409080 in words is "six billion, five hundred thirty-one million, four hundred nine thousand, eighty".