66958109792 has 96 divisors (see below), whose sum is σ = 154300608000. Its totient is φ = 28003304448.

The previous prime is 66958109783. The next prime is 66958109861. The reversal of 66958109792 is 29790185966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13472684 + ... + 13477652.

It is an arithmetic number, because the mean of its divisors is an integer number (1607298000).

Almost surely, 2^66958109792 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 66958109792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77150304000).

66958109792 is an abundant number, since it is smaller than the sum of its proper divisors (87342498208).

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

66958109792 is a wasteful number, since it uses less digits than its factorization.

66958109792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 62.

The spelling of 66958109792 in words is "sixty-six billion, nine hundred fifty-eight million, one hundred nine thousand, seven hundred ninety-two".