1000506616640 has 168 divisors, whose sum is σ = 2574738990720. Its totient is φ = 369600157696.

The previous prime is 1000506616631. The next prime is 1000506616657. The reversal of 1000506616640 is 466166050001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000506616640.

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, 6108941 + ... + 6270579.

Almost surely, 2^{1000506616640} is an apocalyptic number.

1000506616640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000506616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287369495360).

1000506616640 is an abundant number, since it is smaller than the sum of its proper divisors (1574232374080).

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

1000506616640 is a wasteful number, since it uses less digits than its factorization.

1000506616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161737 (or 161698 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1000506616640 in words is "one trillion, five hundred six million, six hundred sixteen thousand, six hundred forty".