9279017104896 has 1440 divisors, whose sum is σ = 35405677891584. Its totient is φ = 2286799257600.

The previous prime is 9279017104873. The next prime is 9279017104901. The reversal of 9279017104896 is 6984017109729.

It is a super-2 number, since 2×9279017104896² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6412588845 + ... + 6412590291.

Almost surely, 2^{9279017104896} is an apocalyptic number.

9279017104896 is a gapful number since it is divisible by the number (96) 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 9279017104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702838945792).

9279017104896 is an abundant number, since it is smaller than the sum of its proper divisors (26126660786688).

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

9279017104896 is a wasteful number, since it uses less digits than its factorization.

9279017104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 9279017104896 in words is "nine trillion, two hundred seventy-nine billion, seventeen million, one hundred four thousand, eight hundred ninety-six".