66158017632 has 288 divisors, whose sum is σ = 239645952000. Its totient is φ = 16853889024.

The previous prime is 66158017621. The next prime is 66158017661. The reversal of 66158017632 is 23671085166.

66158017632 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 8 + 0 + 1 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 600369 + ... + 701967.

It is an arithmetic number, because the mean of its divisors is an integer number (832104000).

Almost surely, 2^66158017632 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 66158017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976000).

66158017632 is an abundant number, since it is smaller than the sum of its proper divisors (173487934368).

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

66158017632 is a wasteful number, since it uses less digits than its factorization.

66158017632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101658 (or 101647 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66158017632 in words is "sixty-six billion, one hundred fifty-eight million, seventeen thousand, six hundred thirty-two".