64134615349728 has 480 divisors, whose sum is σ = 235186493794560. Its totient is φ = 16656483133440.

The previous prime is 64134615349723. The next prime is 64134615349789. The reversal of 64134615349728 is 82794351643146.

64134615349728 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 4 + 6 + 1 + 534 + 97 + 2 + 8 = 666.

It is a super-2 number, since 2×64134615349728² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64134615349723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3577135068 + ... + 3577152996.

It is an arithmetic number, because the mean of its divisors is an integer number (489971862072).

Almost surely, 2^{64134615349728} 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 64134615349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117593246897280).

64134615349728 is an abundant number, since it is smaller than the sum of its proper divisors (171051878444832).

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

64134615349728 is a wasteful number, since it uses less digits than its factorization.

64134615349728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35892 (or 35875 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 64134615349728 in words is "sixty-four trillion, one hundred thirty-four billion, six hundred fifteen million, three hundred forty-nine thousand, seven hundred twenty-eight".