1007608846328 has 128 divisors (see below), whose sum is σ = 2242753920000. Its totient is φ = 415239810048.

The previous prime is 1007608846313. The next prime is 1007608846333. The reversal of 1007608846328 is 8236488067001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007608846328.

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 31 ways as a sum of consecutive naturals, for example, 576764351 + ... + 576766097.

It is an arithmetic number, because the mean of its divisors is an integer number (17521515000).

Almost surely, 2^{1007608846328} 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 1007608846328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121376960000).

1007608846328 is an abundant number, since it is smaller than the sum of its proper divisors (1235145073672).

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

1007608846328 is a wasteful number, since it uses less digits than its factorization.

1007608846328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 1007608846328 in words is "one trillion, seven billion, six hundred eight million, eight hundred forty-six thousand, three hundred twenty-eight".