9996782747952 has 1920 divisors, whose sum is σ = 37284733624320. Its totient is φ = 2267018772480.

The previous prime is 9996782747839. The next prime is 9996782747977. The reversal of 9996782747952 is 2597472876999.

It is a super-3 number, since 3×9996782747952³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 97056143133 + ... + 97056143235.

It is an arithmetic number, because the mean of its divisors is an integer number (19419132096).

Almost surely, 2^{9996782747952} 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 9996782747952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642366812160).

9996782747952 is an abundant number, since it is smaller than the sum of its proper divisors (27287950876368).

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

9996782747952 is a wasteful number, since it uses less digits than its factorization.

9996782747952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its digits is 8641624320, while the sum is 84.

The spelling of 9996782747952 in words is "nine trillion, nine hundred ninety-six billion, seven hundred eighty-two million, seven hundred forty-seven thousand, nine hundred fifty-two".