7673051040 has 96 divisors (see below), whose sum is σ = 24191213760. Its totient is φ = 2044360704.

The previous prime is 7673051027. The next prime is 7673051059. The reversal of 7673051040 is 401503767.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7673050992 and 7673051010.

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 15 ways as a sum of consecutive naturals, for example, 597972 + ... + 610668.

It is an arithmetic number, because the mean of its divisors is an integer number (251991810).

Almost surely, 2^7673051040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7673051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095606880).

7673051040 is an abundant number, since it is smaller than the sum of its proper divisors (16518162720).

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

7673051040 is a wasteful number, since it uses less digits than its factorization.

7673051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 7673051040 is about 87595.9533311899. The cubic root of 7673051040 is about 1972.3744240328.

The spelling of 7673051040 in words is "seven billion, six hundred seventy-three million, fifty-one thousand, forty".