1064432595072 has 256 divisors, whose sum is σ = 3529495065600. Its totient is φ = 276128870400.

The previous prime is 1064432595041. The next prime is 1064432595089. The reversal of 1064432595072 is 2705952344601.

It is a super-2 number, since 2×1064432595072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23957454 + ... + 24001842.

It is an arithmetic number, because the mean of its divisors is an integer number (13787090100).

Almost surely, 2^{1064432595072} is an apocalyptic number.

1064432595072 is a gapful number since it is divisible by the number (12) 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 1064432595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764747532800).

1064432595072 is an abundant number, since it is smaller than the sum of its proper divisors (2465062470528).

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

1064432595072 is a wasteful number, since it uses less digits than its factorization.

1064432595072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45235 (or 45223 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 1064432595072 in words is "one trillion, sixty-four billion, four hundred thirty-two million, five hundred ninety-five thousand, seventy-two".