1009999683264 has 672 divisors, whose sum is σ = 3284777905920. Its totient is φ = 269982720000.

The previous prime is 1009999683247. The next prime is 1009999683271. The reversal of 1009999683264 is 4623869999001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1009999683195 and 1009999683204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2664906627 + ... + 2664907005.

It is an arithmetic number, because the mean of its divisors is an integer number (4888062360).

Almost surely, 2^{1009999683264} 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 1009999683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642388952960).

1009999683264 is an abundant number, since it is smaller than the sum of its proper divisors (2274778222656).

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

1009999683264 is a wasteful number, since it uses less digits than its factorization.

1009999683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 66.

The spelling of 1009999683264 in words is "one trillion, nine billion, nine hundred ninety-nine million, six hundred eighty-three thousand, two hundred sixty-four".