7676123830272 has 144 divisors (see below), whose sum is σ = 22329559161000. Its totient is φ = 2540299124736.

The previous prime is 7676123830267. The next prime is 7676123830273. The reversal of 7676123830272 is 2720383216767.

7676123830272 is a `hidden beast` number, since 76 + 76 + 1 + 238 + 3 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676123830273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1064004 + ... + 4060092.

Almost surely, 2^{7676123830272} is an apocalyptic number.

7676123830272 is a gapful number since it is divisible by the number (72) 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 7676123830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164779580500).

7676123830272 is an abundant number, since it is smaller than the sum of its proper divisors (14653435330728).

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

7676123830272 is a wasteful number, since it uses less digits than its factorization.

7676123830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996256 (or 2996233 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 7676123830272 in words is "seven trillion, six hundred seventy-six billion, one hundred twenty-three million, eight hundred thirty thousand, two hundred seventy-two".