542032352064 has 168 divisors, whose sum is σ = 1811823249600. Its totient is φ = 154866329856.

The previous prime is 542032352053. The next prime is 542032352101. The reversal of 542032352064 is 460253230245.

542032352064 is a `hidden beast` number, since 5 + 42 + 0 + 32 + 3 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1174194 + ... + 1569329.

It is an arithmetic number, because the mean of its divisors is an integer number (10784662200).

Almost surely, 2^542032352064 is an apocalyptic number.

It is an amenable number.

542032352064 is an abundant number, since it is smaller than the sum of its proper divisors (1269790897536).

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

542032352064 is a wasteful number, since it uses less digits than its factorization.

542032352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743562 (or 2743535 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 542032352064 in words is "five hundred forty-two billion, thirty-two million, three hundred fifty-two thousand, sixty-four".