67436424960 has 288 divisors, whose sum is σ = 223723321920. Its totient is φ = 17297178624.

The previous prime is 67436424947. The next prime is 67436424961. The reversal of 67436424960 is 6942463476.

It is a super-2 number, since 2×67436424960² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67436424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12642454 + ... + 12647786.

It is an arithmetic number, because the mean of its divisors is an integer number (776817090).

Almost surely, 2^67436424960 is an apocalyptic number.

67436424960 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 67436424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111861660960).

67436424960 is an abundant number, since it is smaller than the sum of its proper divisors (156286896960).

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

67436424960 is a wasteful number, since it uses less digits than its factorization.

67436424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 67436424960 in words is "sixty-seven billion, four hundred thirty-six million, four hundred twenty-four thousand, nine hundred sixty".