7286491296 has 288 divisors, whose sum is σ = 24964632000. Its totient is φ = 2061448704.

The previous prime is 7286491291. The next prime is 7286491307. The reversal of 7286491296 is 6921946827.

7286491296 is a `hidden beast` number, since 72 + 86 + 491 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286491291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4613835 + ... + 4615413.

It is an arithmetic number, because the mean of its divisors is an integer number (86682750).

Almost surely, 2^7286491296 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 7286491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482316000).

7286491296 is an abundant number, since it is smaller than the sum of its proper divisors (17678140704).

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

7286491296 is a wasteful number, since it uses less digits than its factorization.

7286491296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1700 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 7286491296 is about 85360.9471362637. The cubic root of 7286491296 is about 1938.6800898885.

The spelling of 7286491296 in words is "seven billion, two hundred eighty-six million, four hundred ninety-one thousand, two hundred ninety-six".