67765735489536 has 2560 divisors, whose sum is σ = 260807070528000. Its totient is φ = 17304756682752.

The previous prime is 67765735489483. The next prime is 67765735489549. The reversal of 67765735489536 is 63598453756776.

67765735489536 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 5 + 7 + 35 + 48 + 9 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 928297746396 + ... + 928297746468.

It is an arithmetic number, because the mean of its divisors is an integer number (101877761925).

Almost surely, 2^{67765735489536} 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 67765735489536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130403535264000).

67765735489536 is an abundant number, since it is smaller than the sum of its proper divisors (193041335038464).

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

67765735489536 is an frugal number, since it uses more digits than its factorization.

67765735489536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 127 counting only the distinct ones).

The product of its digits is 24004512000, while the sum is 81.

The spelling of 67765735489536 in words is "sixty-seven trillion, seven hundred sixty-five billion, seven hundred thirty-five million, four hundred eighty-nine thousand, five hundred thirty-six".