7187132160 has 576 divisors, whose sum is σ = 29112773760. Its totient is φ = 1663303680.

The previous prime is 7187132159. The next prime is 7187132167. The reversal of 7187132160 is 612317817.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7187132167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637290 + ... + 7638230.

It is an arithmetic number, because the mean of its divisors is an integer number (50543010).

Almost surely, 2^7187132160 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 7187132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556386880).

7187132160 is an abundant number, since it is smaller than the sum of its proper divisors (21925641600).

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

7187132160 is a wasteful number, since it uses less digits than its factorization.

7187132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7187132160 is about 84776.9553593428. The cubic root of 7187132160 is about 1929.8277348103.

Adding to 7187132160 its reverse (612317817), we get a palindrome (7799449977).

The spelling of 7187132160 in words is "seven billion, one hundred eighty-seven million, one hundred thirty-two thousand, one hundred sixty".