10630944576 has 224 divisors, whose sum is σ = 36871208960. Its totient is φ = 2939328000.

The previous prime is 10630944553. The next prime is 10630944589. The reversal of 10630944576 is 67544903601.

10630944576 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 9 + 44 + 576 = 666.

10630944576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10630944576² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 360801 + ... + 389151.

Almost surely, 2^10630944576 is an apocalyptic number.

10630944576 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 10630944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435604480).

10630944576 is an abundant number, since it is smaller than the sum of its proper divisors (26240264384).

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

10630944576 is a wasteful number, since it uses less digits than its factorization.

10630944576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10630944576 in words is "ten billion, six hundred thirty million, nine hundred forty-four thousand, five hundred seventy-six".