7132188672 has 520 divisors, whose sum is σ = 25309010496. Its totient is φ = 1958805504.

The previous prime is 7132188667. The next prime is 7132188673. The reversal of 7132188672 is 2768812317.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7132188673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85929943 + ... + 85930025.

Almost surely, 2^7132188672 is an apocalyptic number.

7132188672 is a gapful number since it is divisible by the number (72) 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 7132188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654505248).

7132188672 is an abundant number, since it is smaller than the sum of its proper divisors (18176821824).

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

7132188672 is an equidigital number, since it uses as much as digits as its factorization.

7132188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 7132188672 is about 84452.2863633661. The cubic root of 7132188672 is about 1924.8974969426.

The spelling of 7132188672 in words is "seven billion, one hundred thirty-two million, one hundred eighty-eight thousand, six hundred seventy-two".