1064070007728 has 320 divisors, whose sum is σ = 3502275840000. Its totient is φ = 270769766400.

The previous prime is 1064070007669. The next prime is 1064070007771. The reversal of 1064070007728 is 8277000704601.

It is a super-3 number, since 3×1064070007728³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1064070007728.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354806773 + ... + 354809771.

It is an arithmetic number, because the mean of its divisors is an integer number (10944612000).

Almost surely, 2^{1064070007728} 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 1064070007728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751137920000).

1064070007728 is an abundant number, since it is smaller than the sum of its proper divisors (2438205832272).

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

1064070007728 is a wasteful number, since it uses less digits than its factorization.

1064070007728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 1064070007728 in words is "one trillion, sixty-four billion, seventy million, seven thousand, seven hundred twenty-eight".