66624900 has 72 divisors (see below), whose sum is σ = 193633440. Its totient is φ = 17687040.

The previous prime is 66624893. The next prime is 66624911. The reversal of 66624900 is 942666.

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, 100771 + ... + 101429.

Almost surely, 2^66624900 is an apocalyptic number.

66624900 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 66624900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96816720).

66624900 is an abundant number, since it is smaller than the sum of its proper divisors (127008540).

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

66624900 is a wasteful number, since it uses less digits than its factorization.

66624900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66624900 is about 8162.4077330160. The cubic root of 66624900 is about 405.3954375807.

The spelling of 66624900 in words is "sixty-six million, six hundred twenty-four thousand, nine hundred".