9969926446080 has 880 divisors, whose sum is σ = 36710114310144. Its totient is φ = 2585981583360.

The previous prime is 9969926446063. The next prime is 9969926446087. The reversal of 9969926446080 is 806446299699.

9969926446080 is a `hidden beast` number, since 9 + 9 + 6 + 9 + 9 + 2 + 6 + 4 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9969926446087) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4832731129 + ... + 4832733191.

Almost surely, 2^{9969926446080} is an apocalyptic number.

9969926446080 is a gapful number since it is divisible by the number (90) 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 9969926446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355057155072).

9969926446080 is an abundant number, since it is smaller than the sum of its proper divisors (26740187864064).

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

9969926446080 is a wasteful number, since it uses less digits than its factorization.

9969926446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 9969926446080 in words is "nine trillion, nine hundred sixty-nine billion, nine hundred twenty-six million, four hundred forty-six thousand, eighty".