7673982160 has 40 divisors (see below), whose sum is σ = 19214473320. Its totient is φ = 2833469952.

The previous prime is 7673982137. The next prime is 7673982209. The reversal of 7673982160 is 612893767.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 118200384 + 7555781776 = 10872^2 + 86924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3688375 + ... + 3690454.

It is an arithmetic number, because the mean of its divisors is an integer number (480361833).

Almost surely, 2^7673982160 is an apocalyptic number.

It is an amenable number.

7673982160 is an abundant number, since it is smaller than the sum of its proper divisors (11540491160).

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

7673982160 is a wasteful number, since it uses less digits than its factorization.

7673982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378855 (or 7378849 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 7673982160 is about 87601.2680273522. The cubic root of 7673982160 is about 1972.4542029448.

The spelling of 7673982160 in words is "seven billion, six hundred seventy-three million, nine hundred eighty-two thousand, one hundred sixty".