64400014835712 has 432 divisors, whose sum is σ = 193261483239552. Its totient is φ = 21430287728640.

The previous prime is 64400014835711. The next prime is 64400014835777. The reversal of 64400014835712 is 21753841000446.

64400014835712 is a `hidden beast` number, since 6 + 4 + 400 + 0 + 148 + 35 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (64400014835711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24110824137 + ... + 24110826807.

It is an arithmetic number, because the mean of its divisors is an integer number (447364544536).

Almost surely, 2^{64400014835712} 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 64400014835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96630741619776).

64400014835712 is an abundant number, since it is smaller than the sum of its proper divisors (128861468403840).

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

64400014835712 is an frugal number, since it uses more digits than its factorization.

64400014835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 64400014835712 in words is "sixty-four trillion, four hundred billion, fourteen million, eight hundred thirty-five thousand, seven hundred twelve".