1005742005632 has 192 divisors, whose sum is σ = 2482118069760. Its totient is φ = 397464238080.

The previous prime is 1005742005629. The next prime is 1005742005689. The reversal of 1005742005632 is 2365002475001.

It is a junction number, because it is equal to n+sod(n) for n = 1005742005592 and 1005742005601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176103257 + ... + 176108967.

It is an arithmetic number, because the mean of its divisors is an integer number (12927698280).

Almost surely, 2^{1005742005632} 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 1005742005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241059034880).

1005742005632 is an abundant number, since it is smaller than the sum of its proper divisors (1476376064128).

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

1005742005632 is a wasteful number, since it uses less digits than its factorization.

1005742005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 1005742005632 in words is "one trillion, five billion, seven hundred forty-two million, five thousand, six hundred thirty-two".