64132180224 has 288 divisors, whose sum is σ = 198782760960. Its totient is φ = 17977344000.

The previous prime is 64132180163. The next prime is 64132180243. The reversal of 64132180224 is 42208123146.

It is a super-2 number, since 2×64132180224² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 153059887 + ... + 153060305.

It is an arithmetic number, because the mean of its divisors is an integer number (690217920).

Almost surely, 2^64132180224 is an apocalyptic number.

64132180224 is a gapful number since it is divisible by the number (64) 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 64132180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99391380480).

64132180224 is an abundant number, since it is smaller than the sum of its proper divisors (134650580736).

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

64132180224 is a wasteful number, since it uses less digits than its factorization.

64132180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 64132180224 in words is "sixty-four billion, one hundred thirty-two million, one hundred eighty thousand, two hundred twenty-four".