66493800 has 288 divisors, whose sum is σ = 246781080. Its totient is φ = 15974400.

The previous prime is 66493799. The next prime is 66493811. The reversal of 66493800 is 839466.

66493800 is a `hidden beast` number, since 6 + 649 + 3 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3481956 + 63011844 = 1866^2 + 7938^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1254574 + ... + 1254626.

Almost surely, 2^66493800 is an apocalyptic number.

66493800 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 66493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

66493800 is an abundant number, since it is smaller than the sum of its proper divisors (180287280).

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

66493800 is a wasteful number, since it uses less digits than its factorization.

66493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66493800 is about 8154.3730598986. The cubic root of 66493800 is about 405.1293596832.

The spelling of 66493800 in words is "sixty-six million, four hundred ninety-three thousand, eight hundred".