9792078912000 has 1440 divisors, whose sum is σ = 44307358647552. Its totient is φ = 2034616320000.

The previous prime is 9792078911987. The next prime is 9792078912127. The reversal of 9792078912000 is 2198702979.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 487861965 + ... + 487882035.

Almost surely, 2^{9792078912000} is an apocalyptic number.

9792078912000 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 9792078912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153679323776).

9792078912000 is an abundant number, since it is smaller than the sum of its proper divisors (34515279735552).

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

9792078912000 is a wasteful number, since it uses less digits than its factorization.

9792078912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 9792078912000 in words is "nine trillion, seven hundred ninety-two billion, seventy-eight million, nine hundred twelve thousand".