66424752900 has 405 divisors, whose sum is σ = 232294864165. Its totient is φ = 15876168000.

The previous prime is 66424752893. The next prime is 66424752929. The reversal of 66424752900 is 925742466.

The square root of 66424752900 is 257730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23912911044 + 42511841856 = 154638^2 + 206184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 935559865 + ... + 935559935.

Almost surely, 2^66424752900 is an apocalyptic number.

66424752900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66424752900 is the 257730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66424752900

66424752900 is an abundant number, since it is smaller than the sum of its proper divisors (165870111265).

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

66424752900 is a wasteful number, since it uses less digits than its factorization.

66424752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66424752900 in words is "sixty-six billion, four hundred twenty-four million, seven hundred fifty-two thousand, nine hundred".