7291632960 has 504 divisors, whose sum is σ = 27355775616. Its totient is φ = 1847577600.

The previous prime is 7291632947. The next prime is 7291633007. The reversal of 7291632960 is 692361927.

It is a happy number.

7291632960 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 632 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×7291632960² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48288885 + ... + 48289035.

Almost surely, 2^7291632960 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 7291632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677887808).

7291632960 is an abundant number, since it is smaller than the sum of its proper divisors (20064142656).

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

7291632960 is an equidigital number, since it uses as much as digits as its factorization.

7291632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7291632960 is about 85391.0590167378. The cubic root of 7291632960 is about 1939.1359882311.

The spelling of 7291632960 in words is "seven billion, two hundred ninety-one million, six hundred thirty-two thousand, nine hundred sixty".