66345746592 has 192 divisors, whose sum is σ = 186075792000. Its totient is φ = 20626538496.

The previous prime is 66345746573. The next prime is 66345746653. The reversal of 66345746592 is 29564754366.

It is a super-2 number, since 2×66345746592² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132957159 + ... + 132957657.

It is an arithmetic number, because the mean of its divisors is an integer number (969144750).

Almost surely, 2^66345746592 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 66345746592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93037896000).

66345746592 is an abundant number, since it is smaller than the sum of its proper divisors (119730045408).

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

66345746592 is a wasteful number, since it uses less digits than its factorization.

66345746592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 57.

The spelling of 66345746592 in words is "sixty-six billion, three hundred forty-five million, seven hundred forty-six thousand, five hundred ninety-two".