66420065600 has 336 divisors, whose sum is σ = 193239298560. Its totient is φ = 21996748800.

The previous prime is 66420065573. The next prime is 66420065623. The reversal of 66420065600 is 656002466.

It is a super-2 number, since 2×66420065600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50052137 + ... + 50053463.

It is an arithmetic number, because the mean of its divisors is an integer number (575116960).

Almost surely, 2^66420065600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66420065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96619649280).

66420065600 is an abundant number, since it is smaller than the sum of its proper divisors (126819232960).

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

66420065600 is a wasteful number, since it uses less digits than its factorization.

66420065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 66420065600 in words is "sixty-six billion, four hundred twenty million, sixty-five thousand, six hundred".