9709945142976 has 448 divisors, whose sum is σ = 31010570236800. Its totient is φ = 2979231031296.

The previous prime is 9709945142971. The next prime is 9709945142977. The reversal of 9709945142976 is 6792415499079.

9709945142976 is a `hidden beast` number, since 9 + 7 + 0 + 99 + 45 + 1 + 429 + 76 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (9709945142971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416059740 + ... + 1416066596.

It is an arithmetic number, because the mean of its divisors is an integer number (69220022850).

Almost surely, 2^{9709945142976} is an apocalyptic number.

9709945142976 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 9709945142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505285118400).

9709945142976 is an abundant number, since it is smaller than the sum of its proper divisors (21300625093824).

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

9709945142976 is a wasteful number, since it uses less digits than its factorization.

9709945142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 9709945142976 in words is "nine trillion, seven hundred nine billion, nine hundred forty-five million, one hundred forty-two thousand, nine hundred seventy-six".