7945633440000 has 1485 divisors, whose sum is σ = 30788706501553. Its totient is φ = 2045772288000.

The previous prime is 7945633439993. The next prime is 7945633440071. The reversal of 7945633440000 is 443365497.

The square root of 7945633440000 is 2818800.

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

7945633440000 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 633 + 4 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5942751826176 + 2002881613824 = 2437776^2 + 1415232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 164 ways as a sum of consecutive naturals, for example, 273987359986 + ... + 273987360014.

Almost surely, 2^{7945633440000} is an apocalyptic number.

7945633440000 is the 2818800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945633440000

7945633440000 is an abundant number, since it is smaller than the sum of its proper divisors (22843073061553).

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

7945633440000 is an frugal number, since it uses more digits than its factorization.

7945633440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 7945633440000 in words is "seven trillion, nine hundred forty-five billion, six hundred thirty-three million, four hundred forty thousand".