7296311623680 has 1176 divisors, whose sum is σ = 27726282376128. Its totient is φ = 1838665433088.

The previous prime is 7296311623637. The next prime is 7296311623691. The reversal of 7296311623680 is 863261136927.

7296311623680 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 3 + 1 + 1 + 623 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87907368919 + ... + 87907369001.

It is an arithmetic number, because the mean of its divisors is an integer number (23576770728).

Almost surely, 2^{7296311623680} 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 7296311623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863141188064).

7296311623680 is an abundant number, since it is smaller than the sum of its proper divisors (20429970752448).

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

7296311623680 is an frugal number, since it uses more digits than its factorization.

7296311623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 7296311623680 in words is "seven trillion, two hundred ninety-six billion, three hundred eleven million, six hundred twenty-three thousand, six hundred eighty".