7166140416 has 224 divisors, whose sum is σ = 21468283200. Its totient is φ = 2362245120.

The previous prime is 7166140409. The next prime is 7166140417. The reversal of 7166140416 is 6140416617.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7166140417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39591846 + ... + 39592026.

It is an arithmetic number, because the mean of its divisors is an integer number (95840550).

Almost surely, 2^7166140416 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 7166140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734141600).

7166140416 is an abundant number, since it is smaller than the sum of its proper divisors (14302142784).

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

7166140416 is a wasteful number, since it uses less digits than its factorization.

7166140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7166140416 is about 84653.0591059768. The cubic root of 7166140416 is about 1927.9470609822.

The spelling of 7166140416 in words is "seven billion, one hundred sixty-six million, one hundred forty thousand, four hundred sixteen".