5305741674624 has 128 divisors (see below), whose sum is σ = 15674217192000. Its totient is φ = 1766896588800.

The previous prime is 5305741674557. The next prime is 5305741674631. The reversal of 5305741674624 is 4264761475035.

5305741674624 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 7 + 4 + 1 + 6 + 7 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2901892 + ... + 4362620.

Almost surely, 2^{5305741674624} is an apocalyptic number.

5305741674624 is a gapful number since it is divisible by the number (54) 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 5305741674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837108596000).

5305741674624 is an abundant number, since it is smaller than the sum of its proper divisors (10368475517376).

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

5305741674624 is a wasteful number, since it uses less digits than its factorization.

5305741674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461803 (or 1461785 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 5305741674624 in words is "five trillion, three hundred five billion, seven hundred forty-one million, six hundred seventy-four thousand, six hundred twenty-four".