9906400000 has 432 divisors, whose sum is σ = 29699974080. Its totient is φ = 3225600000.

The previous prime is 9906399983. The next prime is 9906400003. The reversal of 9906400000 is 46099.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9906400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162399970 + ... + 162400030.

It is an arithmetic number, because the mean of its divisors is an integer number (68749940).

Almost surely, 2^9906400000 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 9906400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849987040).

9906400000 is an abundant number, since it is smaller than the sum of its proper divisors (19793574080).

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

9906400000 is an frugal number, since it uses more digits than its factorization.

9906400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9906400000 is about 99530.8997246584. The cubic root of 9906400000 is about 2147.6917719297.

Adding to 9906400000 its reverse (46099), we get a palindrome (9906446099).

The spelling of 9906400000 in words is "nine billion, nine hundred six million, four hundred thousand".