64069685821440 has 960 divisors, whose sum is σ = 259751694827520. Its totient is φ = 14843180482560.

The previous prime is 64069685821439. The next prime is 64069685821451. The reversal of 64069685821440 is 4412858696046.

64069685821440 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 9 + 6 + 8 + 582 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 488751105 + ... + 488882175.

It is an arithmetic number, because the mean of its divisors is an integer number (270574682112).

Almost surely, 2^{64069685821440} is an apocalyptic number.

64069685821440 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 64069685821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129875847413760).

64069685821440 is an abundant number, since it is smaller than the sum of its proper divisors (195682009006080).

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

64069685821440 is a wasteful number, since it uses less digits than its factorization.

64069685821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131143 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 64069685821440 in words is "sixty-four trillion, sixty-nine billion, six hundred eighty-five million, eight hundred twenty-one thousand, four hundred forty".