9947318400 has 240 divisors, whose sum is σ = 36708748890. Its totient is φ = 2652549120.

The previous prime is 9947318389. The next prime is 9947318453. The reversal of 9947318400 is 48137499.

It can be written as a sum of positive squares in 3 ways, for example, as 3754257984 + 6193060416 = 61272^2 + 78696^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240012 + ... + 278388.

Almost surely, 2^9947318400 is an apocalyptic number.

9947318400 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 9947318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354374445).

9947318400 is an abundant number, since it is smaller than the sum of its proper divisors (26761430490).

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

9947318400 is a wasteful number, since it uses less digits than its factorization.

9947318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38413 (or 38387 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9947318400 is about 99736.2441642957. The cubic root of 9947318400 is about 2150.6447246195.

The spelling of 9947318400 in words is "nine billion, nine hundred forty-seven million, three hundred eighteen thousand, four hundred".