7005363805440 has 3456 divisors, whose sum is σ = 34527378816000. Its totient is φ = 1307993702400.

The previous prime is 7005363805423. The next prime is 7005363805441. The reversal of 7005363805440 is 445083635007.

7005363805440 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 3 + 638 + 0 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7005363805441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15602146336 + ... + 15602146784.

It is an arithmetic number, because the mean of its divisors is an integer number (9990561000).

Almost surely, 2^{7005363805440} is an apocalyptic number.

7005363805440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7005363805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263689408000).

7005363805440 is an abundant number, since it is smaller than the sum of its proper divisors (27522015010560).

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

7005363805440 is a wasteful number, since it uses less digits than its factorization.

7005363805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 7005363805440 in words is "seven trillion, five billion, three hundred sixty-three million, eight hundred five thousand, four hundred forty".