1002727665984 has 336 divisors, whose sum is σ = 3111432464448. Its totient is φ = 283785216000.

The previous prime is 1002727665949. The next prime is 1002727666009. The reversal of 1002727665984 is 4895667272001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51727974 + ... + 51747354.

It is an arithmetic number, because the mean of its divisors is an integer number (9260215668).

Almost surely, 2^{1002727665984} 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 1002727665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555716232224).

1002727665984 is an abundant number, since it is smaller than the sum of its proper divisors (2108704798464).

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

1002727665984 is a wasteful number, since it uses less digits than its factorization.

1002727665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566 (or 19545 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 1002727665984 in words is "one trillion, two billion, seven hundred twenty-seven million, six hundred sixty-five thousand, nine hundred eighty-four".