66802852800 has 252 divisors, whose sum is σ = 237734516656. Its totient is φ = 17791488000.

The previous prime is 66802852769. The next prime is 66802852807. The reversal of 66802852800 is 825820866.

It is a super-2 number, since 2×66802852800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66802852807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13490325 + ... + 13495275.

Almost surely, 2^66802852800 is an apocalyptic number.

66802852800 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 66802852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118867258328).

66802852800 is an abundant number, since it is smaller than the sum of its proper divisors (170931663856).

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

66802852800 is a wasteful number, since it uses less digits than its factorization.

66802852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 66802852800 in words is "sixty-six billion, eight hundred two million, eight hundred fifty-two thousand, eight hundred".