9406540958976 has 1440 divisors, whose sum is σ = 35110115040000. Its totient is φ = 2444015960064.

The previous prime is 9406540958963. The next prime is 9406540958977. The reversal of 9406540958976 is 6798590456049.

9406540958976 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 540 + 9 + 5 + 8 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9406540958977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26952839250 + ... + 26952839598.

Almost surely, 2^{9406540958976} is an apocalyptic number.

9406540958976 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 9406540958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555057520000).

9406540958976 is an abundant number, since it is smaller than the sum of its proper divisors (25703574081024).

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

9406540958976 is a wasteful number, since it uses less digits than its factorization.

9406540958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 9406540958976 in words is "nine trillion, four hundred six billion, five hundred forty million, nine hundred fifty-eight thousand, nine hundred seventy-six".