7296452640 has 288 divisors, whose sum is σ = 26040268800. Its totient is φ = 1858222080.

The previous prime is 7296452621. The next prime is 7296452677. The reversal of 7296452640 is 462546927.

7296452640 is a `hidden beast` number, since 7 + 29 + 64 + 526 + 40 = 666.

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

It is a super-2 number, since 2×7296452640² (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 an unprimeable number.

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, 3525526 + ... + 3527594.

It is an arithmetic number, because the mean of its divisors is an integer number (90417600).

Almost surely, 2^7296452640 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 7296452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020134400).

7296452640 is an abundant number, since it is smaller than the sum of its proper divisors (18743816160).

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

7296452640 is a wasteful number, since it uses less digits than its factorization.

7296452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7296452640 is about 85419.2755764178. The cubic root of 7296452640 is about 1939.5631425026.

The spelling of 7296452640 in words is "seven billion, two hundred ninety-six million, four hundred fifty-two thousand, six hundred forty".