1006992395904 has 512 divisors, whose sum is σ = 3059804160000. Its totient is φ = 290746368000.

The previous prime is 1006992395887. The next prime is 1006992395921. The reversal of 1006992395904 is 4095932996001.

It is an interprime number because it is at equal distance from previous prime (1006992395887) and next prime (1006992395921).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2102280337 + ... + 2102280815.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180000).

Almost surely, 2^{1006992395904} 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 1006992395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529902080000).

1006992395904 is an abundant number, since it is smaller than the sum of its proper divisors (2052811764096).

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

1006992395904 is a wasteful number, since it uses less digits than its factorization.

1006992395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 1006992395904 in words is "one trillion, six billion, nine hundred ninety-two million, three hundred ninety-five thousand, nine hundred four".