9792488278944 has 240 divisors, whose sum is σ = 32945081400000. Its totient is φ = 2795181198336.

The previous prime is 9792488278927. The next prime is 9792488278973. The reversal of 9792488278944 is 4498728842979.

9792488278944 is a `hidden beast` number, since 9 + 7 + 92 + 488 + 2 + 7 + 8 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18775807 + ... + 19290305.

It is an arithmetic number, because the mean of its divisors is an integer number (137271172500).

Almost surely, 2^{9792488278944} 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 9792488278944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472540700000).

9792488278944 is an abundant number, since it is smaller than the sum of its proper divisors (23152593121056).

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

9792488278944 is a wasteful number, since it uses less digits than its factorization.

9792488278944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515577 (or 515560 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 9792488278944 in words is "nine trillion, seven hundred ninety-two billion, four hundred eighty-eight million, two hundred seventy-eight thousand, nine hundred forty-four".