9447406768800 has 6912 divisors, whose sum is σ = 51053732352000. Its totient is φ = 1630347264000.

The previous prime is 9447406768703. The next prime is 9447406768823. The reversal of 9447406768800 is 88676047449.

9447406768800 is a `hidden beast` number, since 9 + 447 + 40 + 6 + 76 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 154875520770 + ... + 154875520830.

It is an arithmetic number, because the mean of its divisors is an integer number (7386246000).

Almost surely, 2^{9447406768800} is an apocalyptic number.

9447406768800 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 9447406768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25526866176000).

9447406768800 is an abundant number, since it is smaller than the sum of its proper divisors (41606325583200).

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

9447406768800 is a wasteful number, since it uses less digits than its factorization.

9447406768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 9447406768800 in words is "nine trillion, four hundred forty-seven billion, four hundred six million, seven hundred sixty-eight thousand, eight hundred".