5793479313408 has 864 divisors, whose sum is σ = 18327292663680. Its totient is φ = 1828497162240.

The previous prime is 5793479313407. The next prime is 5793479313409. The reversal of 5793479313408 is 8043139743975.

It is a happy number.

5793479313408 is a `hidden beast` number, since 5 + 7 + 93 + 47 + 93 + 13 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (5793479313407) and next prime (5793479313409).

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (5793479313407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21378152313 + ... + 21378152583.

Almost surely, 2^{5793479313408} 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 5793479313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163646331840).

5793479313408 is an abundant number, since it is smaller than the sum of its proper divisors (12533813350272).

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

5793479313408 is an frugal number, since it uses more digits than its factorization.

5793479313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 5793479313408 in words is "five trillion, seven hundred ninety-three billion, four hundred seventy-nine million, three hundred thirteen thousand, four hundred eight".