9907662028800 has 408 divisors, whose sum is σ = 32947034156640. Its totient is φ = 2627049881600.

The previous prime is 9907662028753. The next prime is 9907662028813. The reversal of 9907662028800 is 88202667099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879815170 + ... + 879826430.

Almost surely, 2^{9907662028800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9907662028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473517078320).

9907662028800 is an abundant number, since it is smaller than the sum of its proper divisors (23039372127840).

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

9907662028800 is a wasteful number, since it uses less digits than its factorization.

9907662028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 9907662028800 in words is "nine trillion, nine hundred seven billion, six hundred sixty-two million, twenty-eight thousand, eight hundred".