9926966016 has 432 divisors, whose sum is σ = 32945028480. Its totient is φ = 2956124160.

The previous prime is 9926965987. The next prime is 9926966099. The reversal of 9926966016 is 6106696299.

It is a happy number.

9926966016 is a `hidden beast` number, since 9 + 9 + 26 + 9 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60901551 + ... + 60901713.

It is an arithmetic number, because the mean of its divisors is an integer number (76261640).

Almost surely, 2^9926966016 is an apocalyptic number.

9926966016 is a gapful number since it is divisible by the number (96) 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 9926966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472514240).

9926966016 is an abundant number, since it is smaller than the sum of its proper divisors (23018062464).

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

9926966016 is a wasteful number, since it uses less digits than its factorization.

9926966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9926966016 is about 99634.1608887233. The cubic root of 9926966016 is about 2149.1769711541.

The spelling of 9926966016 in words is "nine billion, nine hundred twenty-six million, nine hundred sixty-six thousand, sixteen".