9962929468800 has 2304 divisors, whose sum is σ = 45527032512000. Its totient is φ = 2056513536000.

The previous prime is 9962929468769. The next prime is 9962929468823. The reversal of 9962929468800 is 88649292699.

9962929468800 is a `hidden beast` number, since 9 + 9 + 62 + 9 + 29 + 468 + 80 + 0 = 666.

9962929468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 30099484635 + ... + 30099484965.

It is an arithmetic number, because the mean of its divisors is an integer number (19759996750).

Almost surely, 2^{9962929468800} is an apocalyptic number.

9962929468800 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 9962929468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763516256000).

9962929468800 is an abundant number, since it is smaller than the sum of its proper divisors (35564103043200).

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

9962929468800 is a wasteful number, since it uses less digits than its factorization.

9962929468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 9962929468800 in words is "nine trillion, nine hundred sixty-two billion, nine hundred twenty-nine million, four hundred sixty-eight thousand, eight hundred".