7261328160 has 384 divisors, whose sum is σ = 26806671360. Its totient is φ = 1832168448.

The previous prime is 7261328159. The next prime is 7261328161. The reversal of 7261328160 is 618231627.

7261328160 is a `hidden beast` number, since 7 + 2 + 613 + 28 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7261328159) and next prime (7261328161).

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

It is not an unprimeable number, because it can be changed into a prime (7261328161) 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, 10631179 + ... + 10631861.

It is an arithmetic number, because the mean of its divisors is an integer number (69809040).

Almost surely, 2^7261328160 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 7261328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403335680).

7261328160 is an abundant number, since it is smaller than the sum of its proper divisors (19545343200).

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

7261328160 is a wasteful number, since it uses less digits than its factorization.

7261328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7261328160 is about 85213.4271109900. The cubic root of 7261328160 is about 1936.4458396510.

Adding to 7261328160 its reverse (618231627), we get a palindrome (7879559787).

The spelling of 7261328160 in words is "seven billion, two hundred sixty-one million, three hundred twenty-eight thousand, one hundred sixty".