5479798431744 has 2688 divisors, whose sum is σ = 22591239552000. Its totient is φ = 1294913765376.

The previous prime is 5479798431707. The next prime is 5479798431761. The reversal of 5479798431744 is 4471348979745.

5479798431744 is a `hidden beast` number, since 5 + 479 + 7 + 9 + 84 + 3 + 1 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 61570768852 + ... + 61570768940.

It is an arithmetic number, because the mean of its divisors is an integer number (8404479000).

Almost surely, 2^{5479798431744} is an apocalyptic number.

5479798431744 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 5479798431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11295619776000).

5479798431744 is an abundant number, since it is smaller than the sum of its proper divisors (17111441120256).

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

5479798431744 is a wasteful number, since it uses less digits than its factorization.

5479798431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 5479798431744 in words is "five trillion, four hundred seventy-nine billion, seven hundred ninety-eight million, four hundred thirty-one thousand, seven hundred forty-four".