6469182720 has 1728 divisors, whose sum is σ = 32883217920. Its totient is φ = 1167851520.

The previous prime is 6469182701. The next prime is 6469182751. The reversal of 6469182720 is 272819646.

It is a happy number.

6469182720 is a `hidden beast` number, since 6 + 469 + 182 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540152 + ... + 380540168.

It is an arithmetic number, because the mean of its divisors is an integer number (19029640).

Almost surely, 2^6469182720 is an apocalyptic number.

6469182720 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 6469182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441608960).

6469182720 is an abundant number, since it is smaller than the sum of its proper divisors (26414035200).

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

6469182720 is a wasteful number, since it uses less digits than its factorization.

6469182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6469182720 is about 80431.2297556117. The cubic root of 6469182720 is about 1863.3015244208.

The spelling of 6469182720 in words is "six billion, four hundred sixty-nine million, one hundred eighty-two thousand, seven hundred twenty".