66618071700 has 576 divisors, whose sum is σ = 227865415680. Its totient is φ = 14902272000.

The previous prime is 66618071693. The next prime is 66618071711. The reversal of 66618071700 is 717081666.

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 191 ways as a sum of consecutive naturals, for example, 158237490 + ... + 158237910.

It is an arithmetic number, because the mean of its divisors is an integer number (395599680).

Almost surely, 2^66618071700 is an apocalyptic number.

66618071700 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66618071700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113932707840).

66618071700 is an abundant number, since it is smaller than the sum of its proper divisors (161247343980).

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

66618071700 is a wasteful number, since it uses less digits than its factorization.

66618071700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 66618071700 in words is "sixty-six billion, six hundred eighteen million, seventy-one thousand, seven hundred".