6459932160 has 480 divisors, whose sum is σ = 24819125760. Its totient is φ = 1539686400.

The previous prime is 6459932137. The next prime is 6459932201. The reversal of 6459932160 is 612399546.

6459932160 is a `hidden beast` number, since 6 + 459 + 9 + 32 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17994061 + ... + 17994419.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^6459932160 is an apocalyptic number.

6459932160 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 6459932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409562880).

6459932160 is an abundant number, since it is smaller than the sum of its proper divisors (18359193600).

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

6459932160 is a wasteful number, since it uses less digits than its factorization.

6459932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6459932160 is about 80373.7031621662. The cubic root of 6459932160 is about 1862.4129626759.

The spelling of 6459932160 in words is "six billion, four hundred fifty-nine million, nine hundred thirty-two thousand, one hundred sixty".