7829923240000 has 315 divisors, whose sum is σ = 20650036214577. Its totient is φ = 2944154112000.

The previous prime is 7829923239979. The next prime is 7829923240019. The reversal of 7829923240000 is 423299287.

The square root of 7829923240000 is 2798200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3823776880704 + 4006146359296 = 1955448^2 + 2001536^2 .

It is a super-2 number, since 2×7829923240000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 9513879589 + ... + 9513880411.

Almost surely, 2^{7829923240000} is an apocalyptic number.

7829923240000 is the 2798200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7829923240000

7829923240000 is an abundant number, since it is smaller than the sum of its proper divisors (12820112974577).

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

7829923240000 is an frugal number, since it uses more digits than its factorization.

7829923240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 7829923240000 in words is "seven trillion, eight hundred twenty-nine billion, nine hundred twenty-three million, two hundred forty thousand".