66404512706100 has 144 divisors (see below), whose sum is σ = 194237500712640. Its totient is φ = 17514243532800.

The previous prime is 66404512706089. The next prime is 66404512706113. The reversal of 66404512706100 is 160721540466.

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, 16606620 + ... + 20213580.

Almost surely, 2^{66404512706100} is an apocalyptic number.

66404512706100 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 66404512706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118750356320).

66404512706100 is an abundant number, since it is smaller than the sum of its proper divisors (127832988006540).

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

66404512706100 is a wasteful number, since it uses less digits than its factorization.

66404512706100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607650 (or 3607643 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 66404512706100 in words is "sixty-six trillion, four hundred four billion, five hundred twelve million, seven hundred six thousand, one hundred".