542291484672 has 672 divisors, whose sum is σ = 1950546873600. Its totient is φ = 141649772544.

The previous prime is 542291484629. The next prime is 542291484673. The reversal of 542291484672 is 276484192245.

542291484672 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 91 + 484 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542291484673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284367943 + ... + 284369849.

Almost surely, 2^542291484672 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 542291484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975273436800).

542291484672 is an abundant number, since it is smaller than the sum of its proper divisors (1408255388928).

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

542291484672 is a wasteful number, since it uses less digits than its factorization.

542291484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1967 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 542291484672 in words is "five hundred forty-two billion, two hundred ninety-one million, four hundred eighty-four thousand, six hundred seventy-two".