9963935280 has 320 divisors, whose sum is σ = 39136245120. Its totient is φ = 2308276224.

The previous prime is 9963935273. The next prime is 9963935291. The reversal of 9963935280 is 825393699.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466924 + ... + 487796.

It is an arithmetic number, because the mean of its divisors is an integer number (122300766).

Almost surely, 2^9963935280 is an apocalyptic number.

9963935280 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 9963935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568122560).

9963935280 is an abundant number, since it is smaller than the sum of its proper divisors (29172309840).

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

9963935280 is a wasteful number, since it uses less digits than its factorization.

9963935280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20925 (or 20913 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 9963935280 is about 99819.5135231584. The cubic root of 9963935280 is about 2151.8416007660.

The spelling of 9963935280 in words is "nine billion, nine hundred sixty-three million, nine hundred thirty-five thousand, two hundred eighty".