66705502752 has 384 divisors, whose sum is σ = 230865223680. Its totient is φ = 18342650880.

The previous prime is 66705502739. The next prime is 66705502753. The reversal of 66705502752 is 25720550766.

66705502752 is a `hidden beast` number, since 6 + 6 + 70 + 5 + 502 + 75 + 2 = 666.

66705502752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66705502698 and 66705502707.

It is not an unprimeable number, because it can be changed into a prime (66705502753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17337693 + ... + 17341539.

It is an arithmetic number, because the mean of its divisors is an integer number (601211520).

Almost surely, 2^66705502752 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 66705502752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115432611840).

66705502752 is an abundant number, since it is smaller than the sum of its proper divisors (164159720928).

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

66705502752 is a wasteful number, since it uses less digits than its factorization.

66705502752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 66705502752 in words is "sixty-six billion, seven hundred five million, five hundred two thousand, seven hundred fifty-two".