542474047584 has 768 divisors, whose sum is σ = 1885350297600. Its totient is φ = 150443205120.

The previous prime is 542474047573. The next prime is 542474047603. The reversal of 542474047584 is 485740474245.

542474047584 is a `hidden beast` number, since 5 + 4 + 24 + 74 + 0 + 475 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 542474047584.

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 127 ways as a sum of consecutive naturals, for example, 4141023199 + ... + 4141023329.

It is an arithmetic number, because the mean of its divisors is an integer number (2454883200).

Almost surely, 2^542474047584 is an apocalyptic number.

542474047584 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 542474047584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942675148800).

542474047584 is an abundant number, since it is smaller than the sum of its proper divisors (1342876250016).

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

542474047584 is a wasteful number, since it uses less digits than its factorization.

542474047584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 54.

The spelling of 542474047584 in words is "five hundred forty-two billion, four hundred seventy-four million, forty-seven thousand, five hundred eighty-four".