7947164160 has 480 divisors, whose sum is σ = 30005735760. Its totient is φ = 1943764992.

The previous prime is 7947164149. The next prime is 7947164191. The reversal of 7947164160 is 614617497.

It can be written as a sum of positive squares in 8 ways, for example, as 1043548416 + 6903615744 = 32304^2 + 83088^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 50618802 + ... + 50618958.

Almost surely, 2^7947164160 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 7947164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002867880).

7947164160 is an abundant number, since it is smaller than the sum of its proper divisors (22058571600).

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

7947164160 is a wasteful number, since it uses less digits than its factorization.

7947164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7947164160 is about 89146.8684811755. The cubic root of 7947164160 is about 1995.5872844645.

The spelling of 7947164160 in words is "seven billion, nine hundred forty-seven million, one hundred sixty-four thousand, one hundred sixty".