1064640350592 has 640 divisors, whose sum is σ = 4128955871040. Its totient is φ = 264263565312.

The previous prime is 1064640350569. The next prime is 1064640350617. The reversal of 1064640350592 is 2950530464601.

1064640350592 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 6 + 4 + 0 + 3 + 50 + 592 = 666.

It is a super-2 number, since 2×1064640350592² (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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16006108 + ... + 16072484.

Almost surely, 2^{1064640350592} is an apocalyptic number.

1064640350592 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 1064640350592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064477935520).

1064640350592 is an abundant number, since it is smaller than the sum of its proper divisors (3064315520448).

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

1064640350592 is a wasteful number, since it uses less digits than its factorization.

1064640350592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66440 (or 66419 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1064640350592 in words is "one trillion, sixty-four billion, six hundred forty million, three hundred fifty thousand, five hundred ninety-two".