7632378680976 has 675 divisors, whose sum is σ = 27167635967769. Its totient is φ = 2062326583296.

The previous prime is 7632378680947. The next prime is 7632378680999. The reversal of 7632378680976 is 6790868732367.

7632378680976 = T₃₉₉ + T₄₀₀ + ... + T₃₅₇₇₆.

The square root of 7632378680976 is 2762676.

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

7632378680976 is a `hidden beast` number, since 76 + 323 + 78 + 6 + 80 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7579559610000 + 52819070976 = 2753100^2 + 229824^2 .

It is a super-3 number, since 3×7632378680976³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 13227692400 + ... + 13227692976.

Almost surely, 2^{7632378680976} is an apocalyptic number.

7632378680976 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7632378680976 is the 2762676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7632378680976

7632378680976 is an abundant number, since it is smaller than the sum of its proper divisors (19535257286793).

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

7632378680976 is an equidigital number, since it uses as much as digits as its factorization.

7632378680976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 7632378680976 in words is "seven trillion, six hundred thirty-two billion, three hundred seventy-eight million, six hundred eighty thousand, nine hundred seventy-six".