6459140160 has 336 divisors, whose sum is σ = 25022080512. Its totient is φ = 1515110400.

The previous prime is 6459140131. The next prime is 6459140161. The reversal of 6459140160 is 610419546.

6459140160 is a `hidden beast` number, since 6 + 4 + 591 + 4 + 0 + 1 + 60 = 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 (6459140161) 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 47 ways as a sum of consecutive naturals, for example, 978792 + ... + 985368.

Almost surely, 2^6459140160 is an apocalyptic number.

6459140160 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 6459140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511040256).

6459140160 is an abundant number, since it is smaller than the sum of its proper divisors (18562940352).

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

6459140160 is a wasteful number, since it uses less digits than its factorization.

6459140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6629 counting only the distinct ones).

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

The square root of 6459140160 is about 80368.7760265142. The cubic root of 6459140160 is about 1862.3368477718.

The spelling of 6459140160 in words is "six billion, four hundred fifty-nine million, one hundred forty thousand, one hundred sixty".