7673174016 has 96 divisors (see below), whose sum is σ = 21533803200. Its totient is φ = 2423070720.

The previous prime is 7673173999. The next prime is 7673174017. The reversal of 7673174016 is 6104713767.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7673174017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83871 + ... + 149601.

It is an arithmetic number, because the mean of its divisors is an integer number (224310450).

Almost surely, 2^7673174016 is an apocalyptic number.

7673174016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7673174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766901600).

7673174016 is an abundant number, since it is smaller than the sum of its proper divisors (13860629184).

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

7673174016 is a wasteful number, since it uses less digits than its factorization.

7673174016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65775 (or 65755 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 7673174016 is about 87596.6552786121. The cubic root of 7673174016 is about 1972.3849610591.

The spelling of 7673174016 in words is "seven billion, six hundred seventy-three million, one hundred seventy-four thousand, sixteen".