64123685967936 has 448 divisors, whose sum is σ = 207927600611328. Its totient is φ = 17040092332032.

The previous prime is 64123685967917. The next prime is 64123685967947. The reversal of 64123685967936 is 63976958632146.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×64123685967936² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902029416 + ... + 1902063128.

Almost surely, 2^{64123685967936} 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 64123685967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103963800305664).

64123685967936 is an abundant number, since it is smaller than the sum of its proper divisors (143803914643392).

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

64123685967936 is a wasteful number, since it uses less digits than its factorization.

64123685967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35458 (or 35448 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 75.

The spelling of 64123685967936 in words is "sixty-four trillion, one hundred twenty-three billion, six hundred eighty-five million, nine hundred sixty-seven thousand, nine hundred thirty-six".