542373777764 has 96 divisors (see below), whose sum is σ = 1193626076160. Its totient is φ = 209897920512.

The previous prime is 542373777763. The next prime is 542373777809. The reversal of 542373777764 is 467777373245.

It is a junction number, because it is equal to n+sod(n) for n = 542373777697 and 542373777706.

It is not an unprimeable number, because it can be changed into a prime (542373777763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41685692 + ... + 41698700.

It is an arithmetic number, because the mean of its divisors is an integer number (12433604960).

Almost surely, 2^542373777764 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 542373777764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596813038080).

542373777764 is an abundant number, since it is smaller than the sum of its proper divisors (651252298396).

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

542373777764 is a wasteful number, since it uses less digits than its factorization.

542373777764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15515 counting only the distinct ones).

The product of its digits is 145212480, while the sum is 62.

The spelling of 542373777764 in words is "five hundred forty-two billion, three hundred seventy-three million, seven hundred seventy-seven thousand, seven hundred sixty-four".