66678000 has 80 divisors (see below), whose sum is σ = 214989216. Its totient is φ = 17779200.

The previous prime is 66677983. The next prime is 66678041. The reversal of 66678000 is 87666.

It is a tau number, because it is divible by the number of its divisors (80).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 11556.

Almost surely, 2^66678000 is an apocalyptic number.

66678000 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 66678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107494608).

66678000 is an abundant number, since it is smaller than the sum of its proper divisors (148311216).

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

66678000 is a wasteful number, since it uses less digits than its factorization.

66678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 66678000 is about 8165.6598018776. The cubic root of 66678000 is about 405.5031089438.

The spelling of 66678000 in words is "sixty-six million, six hundred seventy-eight thousand".