1006972382208 has 704 divisors, whose sum is σ = 3142934323200. Its totient is φ = 284026798080.

The previous prime is 1006972382179. The next prime is 1006972382249. The reversal of 1006972382208 is 8022832796001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3715765113 + ... + 3715765383.

Almost surely, 2^{1006972382208} 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 1006972382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571467161600).

1006972382208 is an abundant number, since it is smaller than the sum of its proper divisors (2135961940992).

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

1006972382208 is a wasteful number, since it uses less digits than its factorization.

1006972382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1006972382208 in words is "one trillion, six billion, nine hundred seventy-two million, three hundred eighty-two thousand, two hundred eight".