7673382101 has 48 divisors (see below), whose sum is σ = 10002961920. Its totient is φ = 5757523200.

The previous prime is 7673382053. The next prime is 7673382131. The reversal of 7673382101 is 1012833767.

7673382101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7673382101 - 2¹⁸ = 7673119957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7673382131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2742035 + ... + 2744831.

It is an arithmetic number, because the mean of its divisors is an integer number (208395040).

Almost surely, 2^7673382101 is an apocalyptic number.

It is an amenable number.

7673382101 is a deficient number, since it is larger than the sum of its proper divisors (2329579819).

7673382101 is a wasteful number, since it uses less digits than its factorization.

7673382101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 7673382101 is about 87597.8430156816. The cubic root of 7673382101 is about 1972.4027902744.

The spelling of 7673382101 in words is "seven billion, six hundred seventy-three million, three hundred eighty-two thousand, one hundred one".