542731968065664 has 512 divisors, whose sum is σ = 1744298177529600. Its totient is φ = 165132049711104.

The previous prime is 542731968065657. The next prime is 542731968065681. The reversal of 542731968065664 is 466560869137245.

542731968065664 is a `hidden beast` number, since 5 + 4 + 27 + 31 + 9 + 6 + 8 + 0 + 6 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 542731968065592 and 542731968065601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5172912534 + ... + 5173017450.

It is a 1-persistent number, because it is pandigital, but 2⋅542731968065664 = 1085463936131328 is not.

Almost surely, 2^{542731968065664} is an apocalyptic number.

542731968065664 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 542731968065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872149088764800).

542731968065664 is an abundant number, since it is smaller than the sum of its proper divisors (1201566209463936).

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

542731968065664 is a wasteful number, since it uses less digits than its factorization.

542731968065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106237 (or 106219 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 542731968065664 in words is "five hundred forty-two trillion, seven hundred thirty-one billion, nine hundred sixty-eight million, sixty-five thousand, six hundred sixty-four".