64244024400 has 120 divisors (see below), whose sum is σ = 207366486624. Its totient is φ = 17000921600.

The previous prime is 64244024399. The next prime is 64244024431. The reversal of 64244024400 is 442044246.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×64244024400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 47139 + ... + 361538.

Almost surely, 2^64244024400 is an apocalyptic number.

64244024400 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 64244024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103683243312).

64244024400 is an abundant number, since it is smaller than the sum of its proper divisors (143122462224).

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

64244024400 is a wasteful number, since it uses less digits than its factorization.

64244024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408829 (or 408818 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 64244024400 its reverse (442044246), we get a palindrome (64686068646).

The spelling of 64244024400 in words is "sixty-four billion, two hundred forty-four million, twenty-four thousand, four hundred".