542813762664 has 64 divisors (see below), whose sum is σ = 1528471065600. Its totient is φ = 178459314048.

The previous prime is 542813762641. The next prime is 542813762741. The reversal of 542813762664 is 466267318245.

542813762664 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 1 + 3 + 7 + 626 + 6 + 4 = 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 542813762664.

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 15 ways as a sum of consecutive naturals, for example, 17196744 + ... + 17228279.

It is an arithmetic number, because the mean of its divisors is an integer number (23882360400).

Almost surely, 2^542813762664 is an apocalyptic number.

542813762664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

542813762664 is an abundant number, since it is smaller than the sum of its proper divisors (985657302936).

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

542813762664 is a wasteful number, since it uses less digits than its factorization.

542813762664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34425111 (or 34425101 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 542813762664 in words is "five hundred forty-two billion, eight hundred thirteen million, seven hundred sixty-two thousand, six hundred sixty-four".