66037306752 has 384 divisors, whose sum is σ = 211718707200. Its totient is φ = 20414177280.

The previous prime is 66037306747. The next prime is 66037306771. The reversal of 66037306752 is 25760373066.

66037306752 is a `hidden beast` number, since 6 + 603 + 7 + 30 + 6 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 66037306698 and 66037306707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37541649 + ... + 37543407.

It is an arithmetic number, because the mean of its divisors is an integer number (551350800).

Almost surely, 2^66037306752 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 66037306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105859353600).

66037306752 is an abundant number, since it is smaller than the sum of its proper divisors (145681400448).

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

66037306752 is a wasteful number, since it uses less digits than its factorization.

66037306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 66037306752 in words is "sixty-six billion, thirty-seven million, three hundred six thousand, seven hundred fifty-two".