7743993937920 has 432 divisors, whose sum is σ = 26943378403032. Its totient is φ = 2057557770240.

The previous prime is 7743993937807. The next prime is 7743993937937. The reversal of 7743993937920 is 297393993477.

7743993937920 is a `hidden beast` number, since 77 + 439 + 9 + 3 + 9 + 37 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7733560541184 + 10433396736 = 2780928^2 + 102144^2 .

It is a super-2 number, since 2×7743993937920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728182080 + ... + 1728186560.

Almost surely, 2^{7743993937920} 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 7743993937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471689201516).

7743993937920 is an abundant number, since it is smaller than the sum of its proper divisors (19199384465112).

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

7743993937920 is an equidigital number, since it uses as much as digits as its factorization.

7743993937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 486091368, while the sum is 72.

The spelling of 7743993937920 in words is "seven trillion, seven hundred forty-three billion, nine hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred twenty".