5832742188672 has 768 divisors, whose sum is σ = 20359090851840. Its totient is φ = 1566867456000.

The previous prime is 5832742188631. The next prime is 5832742188673. The reversal of 5832742188672 is 2768812472385.

5832742188672 is a `hidden beast` number, since 5 + 8 + 3 + 274 + 218 + 86 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5832742188673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8441015847 + ... + 8441016537.

It is an arithmetic number, because the mean of its divisors is an integer number (26509232880).

Almost surely, 2^{5832742188672} 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 5832742188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179545425920).

5832742188672 is an abundant number, since it is smaller than the sum of its proper divisors (14526348663168).

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

5832742188672 is a wasteful number, since it uses less digits than its factorization.

5832742188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1438 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 5832742188672 in words is "five trillion, eight hundred thirty-two billion, seven hundred forty-two million, one hundred eighty-eight thousand, six hundred seventy-two".