1005646642432 has 72 divisors (see below), whose sum is σ = 2077994499840. Its totient is φ = 485223383040.

The previous prime is 1005646642387. The next prime is 1005646642447. The reversal of 1005646642432 is 2342466465001.

It is a super-3 number, since 3×1005646642432³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 2621919 + ... + 2980897.

It is an arithmetic number, because the mean of its divisors is an integer number (28861034720).

Almost surely, 2^{1005646642432} 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 1005646642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038997249920).

1005646642432 is an abundant number, since it is smaller than the sum of its proper divisors (1072347857408).

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

1005646642432 is an equidigital number, since it uses as much as digits as its factorization.

1005646642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359379 (or 359365 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 1005646642432 in words is "one trillion, five billion, six hundred forty-six million, six hundred forty-two thousand, four hundred thirty-two".