9791046720000 has 3000 divisors, whose sum is σ = 45824883996276. Its totient is φ = 2062319616000.

The previous prime is 9791046719893. The next prime is 9791046720041. The reversal of 9791046720000 is 276401979.

It can be written as a sum of positive squares in 10 ways, for example, as 1636229839104 + 8154816880896 = 1279152^2 + 2855664^2 .

It is a tau number, because it is divible by the number of its divisors (3000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 16511039704 + ... + 16511040296.

Almost surely, 2^{9791046720000} is an apocalyptic number.

9791046720000 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 9791046720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912441998138).

9791046720000 is an abundant number, since it is smaller than the sum of its proper divisors (36033837276276).

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

9791046720000 is an equidigital number, since it uses as much as digits as its factorization.

9791046720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 9791046720000 in words is "nine trillion, seven hundred ninety-one billion, forty-six million, seven hundred twenty thousand".