7566212160 has 896 divisors, whose sum is σ = 30969630720. Its totient is φ = 1725235200.

The previous prime is 7566212153. The next prime is 7566212179. The reversal of 7566212160 is 612126657.

It is a happy number.

7566212160 is a `hidden beast` number, since 7 + 5 + 6 + 621 + 21 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 142758694 + ... + 142758746.

It is an arithmetic number, because the mean of its divisors is an integer number (34564320).

Almost surely, 2^7566212160 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 7566212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484815360).

7566212160 is an abundant number, since it is smaller than the sum of its proper divisors (23403418560).

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

7566212160 is a wasteful number, since it uses less digits than its factorization.

7566212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7566212160 is about 86983.9764554369. The cubic root of 7566212160 is about 1963.1772153189.

The spelling of 7566212160 in words is "seven billion, five hundred sixty-six million, two hundred twelve thousand, one hundred sixty".