7266188160 has 1024 divisors, whose sum is σ = 33089126400. Its totient is φ = 1463132160.

The previous prime is 7266188159. The next prime is 7266188191. The reversal of 7266188160 is 618816627.

It is a happy number.

7266188160 is a `hidden beast` number, since 7 + 26 + 618 + 8 + 1 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 57214017 + ... + 57214143.

It is an arithmetic number, because the mean of its divisors is an integer number (32313600).

Almost surely, 2^7266188160 is an apocalyptic number.

7266188160 is a gapful number since it is divisible by the number (70) 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 7266188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544563200).

7266188160 is an abundant number, since it is smaller than the sum of its proper divisors (25822938240).

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

7266188160 is a wasteful number, since it uses less digits than its factorization.

7266188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7266188160 is about 85241.9389737235. The cubic root of 7266188160 is about 1936.8777637533.

The spelling of 7266188160 in words is "seven billion, two hundred sixty-six million, one hundred eighty-eight thousand, one hundred sixty".