9934479360 has 448 divisors, whose sum is σ = 38092440960. Its totient is φ = 2441871360.

The previous prime is 9934479343. The next prime is 9934479367. The reversal of 9934479360 is 639744399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9934479297 and 9934479306.

It is not an unprimeable number, because it can be changed into a prime (9934479367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376615 + ... + 14377305.

It is an arithmetic number, because the mean of its divisors is an integer number (85027770).

Almost surely, 2^9934479360 is an apocalyptic number.

9934479360 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 9934479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046220480).

9934479360 is an abundant number, since it is smaller than the sum of its proper divisors (28157961600).

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

9934479360 is a wasteful number, since it uses less digits than its factorization.

9934479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 9934479360 is about 99671.8584155026. The cubic root of 9934479360 is about 2149.7190445924.

The spelling of 9934479360 in words is "nine billion, nine hundred thirty-four million, four hundred seventy-nine thousand, three hundred sixty".