6509458080 has 240 divisors, whose sum is σ = 23205082824. Its totient is φ = 1718323200.

The previous prime is 6509458069. The next prime is 6509458093. The reversal of 6509458080 is 808549056.

6509458080 is a `hidden beast` number, since 65 + 0 + 9 + 4 + 580 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6450659856 + 58798224 = 80316^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1306474 + ... + 1311446.

Almost surely, 2^6509458080 is an apocalyptic number.

6509458080 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 6509458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602541412).

6509458080 is an abundant number, since it is smaller than the sum of its proper divisors (16695624744).

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

6509458080 is a wasteful number, since it uses less digits than its factorization.

6509458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6509458080 is about 80681.2126830032. The cubic root of 6509458080 is about 1867.1603291841.

The spelling of 6509458080 in words is "six billion, five hundred nine million, four hundred fifty-eight thousand, eighty".