64181681424 has 640 divisors, whose sum is σ = 228945346560. Its totient is φ = 16818278400.

The previous prime is 64181681393. The next prime is 64181681429. The reversal of 64181681424 is 42418618146.

64181681424 is a `hidden beast` number, since 64 + 1 + 8 + 168 + 1 + 424 = 666.

64181681424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64181681424.

It is not an unprimeable number, because it can be changed into a prime (64181681429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202465714 + ... + 202466030.

It is an arithmetic number, because the mean of its divisors is an integer number (357727104).

Almost surely, 2^64181681424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64181681424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114472673280).

64181681424 is an abundant number, since it is smaller than the sum of its proper divisors (164763665136).

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

64181681424 is a wasteful number, since it uses less digits than its factorization.

64181681424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 64181681424 in words is "sixty-four billion, one hundred eighty-one million, six hundred eighty-one thousand, four hundred twenty-four".