64212544000 has 320 divisors, whose sum is σ = 175940024832. Its totient is φ = 23181312000.

The previous prime is 64212543991. The next prime is 64212544021. The reversal of 64212544000 is 44521246.

64212544000 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 (320).

It is a self number, because there is not a number n which added to its sum of digits gives 64212544000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138687769 + ... + 138688231.

Almost surely, 2^64212544000 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 64212544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87970012416).

64212544000 is an abundant number, since it is smaller than the sum of its proper divisors (111727480832).

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

64212544000 is a wasteful number, since it uses less digits than its factorization.

64212544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 64212544000 in words is "sixty-four billion, two hundred twelve million, five hundred forty-four thousand".