7992382728000 has 896 divisors, whose sum is σ = 29650914349056. Its totient is φ = 1879907328000.

The previous prime is 7992382727983. The next prime is 7992382728017. The reversal of 7992382728000 is 8272832997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7992382727983) and next prime (7992382728017).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4327223077 + ... + 4327224923.

It is an arithmetic number, because the mean of its divisors is an integer number (33092538336).

Almost surely, 2^{7992382728000} 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 7992382728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825457174528).

7992382728000 is an abundant number, since it is smaller than the sum of its proper divisors (21658531621056).

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

7992382728000 is a wasteful number, since it uses less digits than its factorization.

7992382728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 7992382728000 in words is "seven trillion, nine hundred ninety-two billion, three hundred eighty-two million, seven hundred twenty-eight thousand".