9973574688 has 192 divisors, whose sum is σ = 34561271808. Its totient is φ = 2438123520.

The previous prime is 9973574669. The next prime is 9973574731. The reversal of 9973574688 is 8864753799.

It is a super-2 number, since 2×9973574688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85981 + ... + 165347.

It is an arithmetic number, because the mean of its divisors is an integer number (180006624).

Almost surely, 2^9973574688 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 9973574688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280635904).

9973574688 is an abundant number, since it is smaller than the sum of its proper divisors (24587697120).

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

9973574688 is a wasteful number, since it uses less digits than its factorization.

9973574688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79415 (or 79407 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The square root of 9973574688 is about 99867.7860373404. The cubic root of 9973574688 is about 2152.5352956829.

The spelling of 9973574688 in words is "nine billion, nine hundred seventy-three million, five hundred seventy-four thousand, six hundred eighty-eight".