542400056676 has 240 divisors, whose sum is σ = 1513027676160. Its totient is φ = 168952573440.

The previous prime is 542400056669. The next prime is 542400056711. The reversal of 542400056676 is 676650004245.

542400056676 is a `hidden beast` number, since 5 + 42 + 40 + 0 + 0 + 566 + 7 + 6 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 141506056 + ... + 141509888.

It is an arithmetic number, because the mean of its divisors is an integer number (6304281984).

Almost surely, 2^542400056676 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 542400056676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756513838080).

542400056676 is an abundant number, since it is smaller than the sum of its proper divisors (970627619484).

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

542400056676 is a wasteful number, since it uses less digits than its factorization.

542400056676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 542400056676 in words is "five hundred forty-two billion, four hundred million, fifty-six thousand, six hundred seventy-six".