10738094976 has 192 divisors, whose sum is σ = 35378104320. Its totient is φ = 3062486016.

The previous prime is 10738094963. The next prime is 10738095001. The reversal of 10738094976 is 67949083701.

It is a happy number.

10738094976 is a `hidden beast` number, since 1 + 0 + 73 + 80 + 9 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 6958461 + ... + 6960003.

It is an arithmetic number, because the mean of its divisors is an integer number (184260960).

Almost surely, 2^10738094976 is an apocalyptic number.

10738094976 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 10738094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689052160).

10738094976 is an abundant number, since it is smaller than the sum of its proper divisors (24640009344).

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

10738094976 is a wasteful number, since it uses less digits than its factorization.

10738094976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10738094976 in words is "ten billion, seven hundred thirty-eight million, ninety-four thousand, nine hundred seventy-six".