7166630016 has 384 divisors, whose sum is σ = 25618320000. Its totient is φ = 1872543744.

The previous prime is 7166629963. The next prime is 7166630027. The reversal of 7166630016 is 6100366617.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14361735 + ... + 14362233.

It is an arithmetic number, because the mean of its divisors is an integer number (66714375).

Almost surely, 2^7166630016 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 7166630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809160000).

7166630016 is an abundant number, since it is smaller than the sum of its proper divisors (18451689984).

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

7166630016 is a wasteful number, since it uses less digits than its factorization.

7166630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7166630016 is about 84655.9508599366. The cubic root of 7166630016 is about 1927.9909665962.

The spelling of 7166630016 in words is "seven billion, one hundred sixty-six million, six hundred thirty thousand, sixteen".