6467424480 has 192 divisors, whose sum is σ = 24693984000. Its totient is φ = 1567848960.

The previous prime is 6467424479. The next prime is 6467424493. The reversal of 6467424480 is 844247646.

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 31 ways as a sum of consecutive naturals, for example, 20530 + ... + 115569.

It is an arithmetic number, because the mean of its divisors is an integer number (128614500).

Almost surely, 2^6467424480 is an apocalyptic number.

6467424480 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 6467424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346992000).

6467424480 is an abundant number, since it is smaller than the sum of its proper divisors (18226559520).

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

6467424480 is a wasteful number, since it uses less digits than its factorization.

6467424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136134 (or 136120 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 6467424480 is about 80420.2989300587. The cubic root of 6467424480 is about 1863.1327020589.

The spelling of 6467424480 in words is "six billion, four hundred sixty-seven million, four hundred twenty-four thousand, four hundred eighty".