64247504069952 has 504 divisors, whose sum is σ = 222342016478400. Its totient is φ = 18340884172800.

The previous prime is 64247504069941. The next prime is 64247504069971. The reversal of 64247504069952 is 25996040574246.

64247504069952 is a `hidden beast` number, since 6 + 4 + 2 + 47 + 50 + 406 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 64247504069952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915184549 + ... + 915254747.

It is an arithmetic number, because the mean of its divisors is an integer number (441154794600).

Almost surely, 2^{64247504069952} 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 64247504069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111171008239200).

64247504069952 is an abundant number, since it is smaller than the sum of its proper divisors (158094512408448).

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

64247504069952 is a wasteful number, since it uses less digits than its factorization.

64247504069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71441 (or 71412 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 64247504069952 in words is "sixty-four trillion, two hundred forty-seven billion, five hundred four million, sixty-nine thousand, nine hundred fifty-two".