5802476193792 has 384 divisors, whose sum is σ = 17475284736000. Its totient is φ = 1902105722880.

The previous prime is 5802476193791. The next prime is 5802476193823. The reversal of 5802476193792 is 2973916742085.

5802476193792 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 4 + 7 + 619 + 3 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5802476193791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939973618 + ... + 939979790.

It is an arithmetic number, because the mean of its divisors is an integer number (45508554000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5802476193792 = 11604952387584, but 3⋅5802476193792 = 17407428581376 is not.

Almost surely, 2^{5802476193792} 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 5802476193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737642368000).

5802476193792 is an abundant number, since it is smaller than the sum of its proper divisors (11672808542208).

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

5802476193792 is a wasteful number, since it uses less digits than its factorization.

5802476193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5802476193792 in words is "five trillion, eight hundred two billion, four hundred seventy-six million, one hundred ninety-three thousand, seven hundred ninety-two".