7321648513536 has 320 divisors, whose sum is σ = 24846910767360. Its totient is φ = 2085291786240.

The previous prime is 7321648513433. The next prime is 7321648513559. The reversal of 7321648513536 is 6353158461237.

7321648513536 is a `hidden beast` number, since 7 + 3 + 2 + 16 + 4 + 85 + 13 + 536 = 666.

It is a super-4 number, since 4×7321648513536⁴ (a number of 53 digits) contains 4444 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30556116 + ... + 30794796.

It is an arithmetic number, because the mean of its divisors is an integer number (77646596148).

Almost surely, 2^{7321648513536} 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 7321648513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423455383680).

7321648513536 is an abundant number, since it is smaller than the sum of its proper divisors (17525262253824).

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

7321648513536 is a wasteful number, since it uses less digits than its factorization.

7321648513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239032 (or 239010 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 7321648513536 in words is "seven trillion, three hundred twenty-one billion, six hundred forty-eight million, five hundred thirteen thousand, five hundred thirty-six".