7627671806976 has 297 divisors, whose sum is σ = 23860052987979. Its totient is φ = 2345915400192.

The previous prime is 7627671806969. The next prime is 7627671806981. The reversal of 7627671806976 is 6796081767267.

It is a happy number.

The square root of 7627671806976 is 2761824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 708667646976 + 6919004160000 = 841824^2 + 2630400^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3446755246 + ... + 3446757458.

Almost surely, 2^{7627671806976} is an apocalyptic number.

7627671806976 is the 2761824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7627671806976

7627671806976 is an abundant number, since it is smaller than the sum of its proper divisors (16232381181003).

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

7627671806976 is an equidigital number, since it uses as much as digits as its factorization.

7627671806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 7627671806976 in words is "seven trillion, six hundred twenty-seven billion, six hundred seventy-one million, eight hundred six thousand, nine hundred seventy-six".