7296435728640 has 504 divisors, whose sum is σ = 26843138157528. Its totient is φ = 1898249748480.

The previous prime is 7296435728639. The next prime is 7296435728693. The reversal of 7296435728640 is 468275346927.

7296435728640 is a `hidden beast` number, since 7 + 2 + 96 + 435 + 72 + 8 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85535191296 + 7210900537344 = 292464^2 + 2685312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38162562 + ... + 38353278.

It is an arithmetic number, because the mean of its divisors is an integer number (53260194757).

Almost surely, 2^{7296435728640} 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 7296435728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421569078764).

7296435728640 is an abundant number, since it is smaller than the sum of its proper divisors (19546702428888).

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

7296435728640 is an equidigital number, since it uses as much as digits as its factorization.

7296435728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190797 (or 190768 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 7296435728640 in words is "seven trillion, two hundred ninety-six billion, four hundred thirty-five million, seven hundred twenty-eight thousand, six hundred forty".