64565424728400 has 240 divisors, whose sum is σ = 214045219514880. Its totient is φ = 16619208345600.

The previous prime is 64565424728393. The next prime is 64565424728407. The reversal of 64565424728400 is 482742456546.

64565424728400 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64565424728393) and next prime (64565424728407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64565424728407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12239914 + ... + 16701686.

It is an arithmetic number, because the mean of its divisors is an integer number (891855081312).

Almost surely, 2^{64565424728400} is an apocalyptic number.

64565424728400 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 64565424728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107022609757440).

64565424728400 is an abundant number, since it is smaller than the sum of its proper divisors (149479794786480).

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

64565424728400 is a wasteful number, since it uses less digits than its factorization.

64565424728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462214 (or 4462203 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 57.

The spelling of 64565424728400 in words is "sixty-four trillion, five hundred sixty-five billion, four hundred twenty-four million, seven hundred twenty-eight thousand, four hundred".