66950700 has 144 divisors (see below), whose sum is σ = 209319936. Its totient is φ = 16473600.

The previous prime is 66950671. The next prime is 66950747. The reversal of 66950700 is 705966.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213744 + ... + 214056.

Almost surely, 2^66950700 is an apocalyptic number.

66950700 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 66950700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104659968).

66950700 is an abundant number, since it is smaller than the sum of its proper divisors (142369236).

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

66950700 is a wasteful number, since it uses less digits than its factorization.

66950700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 66950700 is about 8182.3407408883. The cubic root of 66950700 is about 406.0551665353.

The spelling of 66950700 in words is "sixty-six million, nine hundred fifty thousand, seven hundred".