1064833729920 has 384 divisors, whose sum is σ = 3823223976000. Its totient is φ = 272763961344.

The previous prime is 1064833729853. The next prime is 1064833729951. The reversal of 1064833729920 is 299273384601.

1064833729920 is a `hidden beast` number, since 1 + 0 + 6 + 483 + 3 + 72 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1064833729920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32890701 + ... + 32923059.

Almost surely, 2^{1064833729920} is an apocalyptic number.

1064833729920 is a gapful number since it is divisible by the number (10) 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 1064833729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911611988000).

1064833729920 is an abundant number, since it is smaller than the sum of its proper divisors (2758390246080).

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

1064833729920 is a wasteful number, since it uses less digits than its factorization.

1064833729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32610 (or 32595 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1064833729920 in words is "one trillion, sixty-four billion, eight hundred thirty-three million, seven hundred twenty-nine thousand, nine hundred twenty".