9945761280 has 960 divisors, whose sum is σ = 42319791360. Its totient is φ = 1969422336.

The previous prime is 9945761251. The next prime is 9945761291. The reversal of 9945761280 is 821675499.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92950987 + ... + 92951093.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^9945761280 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 9945761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

9945761280 is an abundant number, since it is smaller than the sum of its proper divisors (32374030080).

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

9945761280 is a wasteful number, since it uses less digits than its factorization.

9945761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 9945761280 is about 99728.4376695033. The cubic root of 9945761280 is about 2150.5325005161.

The spelling of 9945761280 in words is "nine billion, nine hundred forty-five million, seven hundred sixty-one thousand, two hundred eighty".