6467242320 has 960 divisors, whose sum is σ = 28880437248. Its totient is φ = 1257984000.

The previous prime is 6467242291. The next prime is 6467242349. The reversal of 6467242320 is 232427646.

6467242320 is a `hidden beast` number, since 646 + 7 + 2 + 4 + 2 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6467242291) and next prime (6467242349).

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 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, 91087885 + ... + 91087955.

Almost surely, 2^6467242320 is an apocalyptic number.

6467242320 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 6467242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440218624).

6467242320 is an abundant number, since it is smaller than the sum of its proper divisors (22413194928).

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

6467242320 is a wasteful number, since it uses less digits than its factorization.

6467242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6467242320 is about 80419.1663722026. The cubic root of 6467242320 is about 1863.1152097046.

Adding to 6467242320 its reverse (232427646), we get a palindrome (6699669966).

The spelling of 6467242320 in words is "six billion, four hundred sixty-seven million, two hundred forty-two thousand, three hundred twenty".