66772536768 has 378 divisors, whose sum is σ = 225829697184. Its totient is φ = 18807925248.

The previous prime is 66772536679. The next prime is 66772536823. The reversal of 66772536768 is 86763527766.

66772536768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 299428305 + ... + 299428527.

Almost surely, 2^66772536768 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 66772536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914848592).

66772536768 is an abundant number, since it is smaller than the sum of its proper divisors (159057160416).

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

66772536768 is a wasteful number, since it uses less digits than its factorization.

66772536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 338 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 66772536768 in words is "sixty-six billion, seven hundred seventy-two million, five hundred thirty-six thousand, seven hundred sixty-eight".