1004975608672 has 144 divisors (see below), whose sum is σ = 2400791581440. Its totient is φ = 405586434816.

The previous prime is 1004975608633. The next prime is 1004975608697. The reversal of 1004975608672 is 2768065794001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13467079 + ... + 13541497.

It is an arithmetic number, because the mean of its divisors is an integer number (16672163760).

Almost surely, 2^{1004975608672} 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 1004975608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200395790720).

1004975608672 is an abundant number, since it is smaller than the sum of its proper divisors (1395815972768).

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

1004975608672 is a wasteful number, since it uses less digits than its factorization.

1004975608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74641 (or 74614 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 1004975608672 in words is "one trillion, four billion, nine hundred seventy-five million, six hundred eight thousand, six hundred seventy-two".