5842479726720 has 1536 divisors, whose sum is σ = 25285843215360. Its totient is φ = 1210318848000.

The previous prime is 5842479726661. The next prime is 5842479726737. The reversal of 5842479726720 is 276279742485.

It is a happy number.

5842479726720 is a `hidden beast` number, since 5 + 8 + 424 + 79 + 72 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 7677371140 + ... + 7677371900.

It is an arithmetic number, because the mean of its divisors is an integer number (16462137510).

Almost surely, 2^{5842479726720} 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 5842479726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642921607680).

5842479726720 is an abundant number, since it is smaller than the sum of its proper divisors (19443363488640).

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

5842479726720 is a wasteful number, since it uses less digits than its factorization.

5842479726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 5842479726720 in words is "five trillion, eight hundred forty-two billion, four hundred seventy-nine million, seven hundred twenty-six thousand, seven hundred twenty".