64124897787136 has 288 divisors, whose sum is σ = 138520679109120. Its totient is φ = 29516297011200.

The previous prime is 64124897787113. The next prime is 64124897787143. The reversal of 64124897787136 is 63178779842146.

It is a super-2 number, since 2×64124897787136² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 52091711641 + ... + 52091712871.

It is an arithmetic number, because the mean of its divisors is an integer number (480974580240).

Almost surely, 2^{64124897787136} 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 64124897787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69260339554560).

64124897787136 is an abundant number, since it is smaller than the sum of its proper divisors (74395781321984).

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

64124897787136 is a wasteful number, since it uses less digits than its factorization.

64124897787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2247 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 73.

The spelling of 64124897787136 in words is "sixty-four trillion, one hundred twenty-four billion, eight hundred ninety-seven million, seven hundred eighty-seven thousand, one hundred thirty-six".