66225614400 has 504 divisors, whose sum is σ = 258512364864. Its totient is φ = 15946444800.

The previous prime is 66225614387. The next prime is 66225614401. The reversal of 66225614400 is 441652266.

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

It is not an unprimeable number, because it can be changed into a prime (66225614401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 24867469 + ... + 24870131.

Almost surely, 2^66225614400 is an apocalyptic number.

66225614400 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 66225614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129256182432).

66225614400 is an abundant number, since it is smaller than the sum of its proper divisors (192286750464).

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

66225614400 is a wasteful number, since it uses less digits than its factorization.

66225614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 66225 and 614400, that added together give a square (680625 = 825²).

The spelling of 66225614400 in words is "sixty-six billion, two hundred twenty-five million, six hundred fourteen thousand, four hundred".