9973768960 has 144 divisors (see below), whose sum is σ = 24662413440.
Its totient is φ = 3862609920.
The previous prime is 9973768957. The next prime is 9973768963. The reversal of 9973768960 is 698673799.
9973768960 = T81541 + T81542 +
It is an interprime number because it is at equal distance from previous prime (9973768957) and next prime (9973768963).
It is a Harshad number since it is a multiple of its sum of digits (64).
It is a junction number, because it is equal to n+sod(n) for n = 9973768892 and 9973768901.
It is not an unprimeable number, because it can be changed into a prime (9973768963) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358430 + ... + 5360290.
It is an arithmetic number, because the mean of its divisors is an integer number (171266760).
Almost surely, 29973768960 is an apocalyptic number.
9973768960 is the 81543-rd centered triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9973768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331206720).
9973768960 is an abundant number, since it is smaller than the sum of its proper divisors (14688644480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9973768960 is a wasteful number, since it uses less digits than its factorization.
9973768960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2014 (or 2000 counting only the distinct ones).
The product of its (nonzero) digits is 30862944, while the sum is 64.
The square root of 9973768960 is about 99868.7586785778.
The cubic root of 9973768960 is about 2152.5492717692.
The spelling of 9973768960 in words is "nine billion, nine hundred seventy-three million, seven hundred sixty-eight thousand, nine hundred sixty".