64503729844992 has 576 divisors, whose sum is σ = 196375327948800. Its totient is φ = 20875066490880.

The previous prime is 64503729844979. The next prime is 64503729844997. The reversal of 64503729844992 is 29944892730546.

64503729844992 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 3 + 7 + 2 + 98 + 449 + 92 = 666.

64503729844992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 64503729844992.

It is not an unprimeable number, because it can be changed into a prime (64503729844997) 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 63 ways as a sum of consecutive naturals, for example, 24895301617 + ... + 24895304207.

It is an arithmetic number, because the mean of its divisors is an integer number (340929388800).

Almost surely, 2^{64503729844992} 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 64503729844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98187663974400).

64503729844992 is an abundant number, since it is smaller than the sum of its proper divisors (131871598103808).

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

64503729844992 is a wasteful number, since it uses less digits than its factorization.

64503729844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 64503729844992 in words is "sixty-four trillion, five hundred three billion, seven hundred twenty-nine million, eight hundred forty-four thousand, nine hundred ninety-two".