66678900 has 72 divisors (see below), whose sum is σ = 197070720. Its totient is φ = 17399040.

The previous prime is 66678881. The next prime is 66678901. The reversal of 66678900 is 987666.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66678901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11736 + ... + 16464.

Almost surely, 2^66678900 is an apocalyptic number.

66678900 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 66678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98535360).

66678900 is an abundant number, since it is smaller than the sum of its proper divisors (130391820).

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

66678900 is a wasteful number, since it uses less digits than its factorization.

66678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 66678900 is about 8165.7149105268. The cubic root of 66678900 is about 405.5049333895.

The spelling of 66678900 in words is "sixty-six million, six hundred seventy-eight thousand, nine hundred".