66418700 has 72 divisors (see below), whose sum is σ = 153375600. Its totient is φ = 24917760.

The previous prime is 66418673. The next prime is 66418717. The reversal of 66418700 is 781466.

It is a super-2 number, since 2×66418700² = 8822887419380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106991 + ... + 107609.

Almost surely, 2^66418700 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 66418700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687800).

66418700 is an abundant number, since it is smaller than the sum of its proper divisors (86956900).

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

66418700 is a wasteful number, since it uses less digits than its factorization.

66418700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 66418700 is about 8149.7668678313. The cubic root of 66418700 is about 404.9767806634.

The spelling of 66418700 in words is "sixty-six million, four hundred eighteen thousand, seven hundred".