64289537664000 has 2816 divisors, whose sum is σ = 250505071165440. Its totient is φ = 14491975680000.

The previous prime is 64289537663909. The next prime is 64289537664013. The reversal of 64289537664000 is 46673598246.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 506216831937 + ... + 506216832063.

Almost surely, 2^{64289537664000} is an apocalyptic number.

64289537664000 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 64289537664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125252535582720).

64289537664000 is an abundant number, since it is smaller than the sum of its proper divisors (186215533501440).

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

64289537664000 is a wasteful number, since it uses less digits than its factorization.

64289537664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 64289537664000 in words is "sixty-four trillion, two hundred eighty-nine billion, five hundred thirty-seven million, six hundred sixty-four thousand".