9926400669696 has 1152 divisors, whose sum is σ = 35768888064000. Its totient is φ = 2742745743360.

The previous prime is 9926400669667. The next prime is 9926400669701. The reversal of 9926400669696 is 6969660046299.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6803563815 + ... + 6803565273.

It is an arithmetic number, because the mean of its divisors is an integer number (31049382000).

Almost surely, 2^{9926400669696} is an apocalyptic number.

9926400669696 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 9926400669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884444032000).

9926400669696 is an abundant number, since it is smaller than the sum of its proper divisors (25842487394304).

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

9926400669696 is an equidigital number, since it uses as much as digits as its factorization.

9926400669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 9926400669696 in words is "nine trillion, nine hundred twenty-six billion, four hundred million, six hundred sixty-nine thousand, six hundred ninety-six".