10006790976 has 336 divisors, whose sum is σ = 36857513280. Its totient is φ = 2638863360.

The previous prime is 10006790957. The next prime is 10006791013. The reversal of 10006790976 is 67909760001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096191 + ... + 1105281.

It is an arithmetic number, because the mean of its divisors is an integer number (109694980).

Almost surely, 2^10006790976 is an apocalyptic number.

10006790976 is a gapful number since it is divisible by the number (16) 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 10006790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428756640).

10006790976 is an abundant number, since it is smaller than the sum of its proper divisors (26850722304).

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

10006790976 is a wasteful number, since it uses less digits than its factorization.

10006790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

It can be divided in two parts, 1000 and 6790976, that added together give a palindrome (6791976).

The spelling of 10006790976 in words is "ten billion, six million, seven hundred ninety thousand, nine hundred seventy-six".