66193922340 has 288 divisors, whose sum is σ = 247932711936. Its totient is φ = 13920491520.

The previous prime is 66193922339. The next prime is 66193922341. The reversal of 66193922340 is 4322939166.

66193922340 is a `hidden beast` number, since 6 + 619 + 3 + 9 + 2 + 23 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66193922339) and next prime (66193922341).

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

It is not an unprimeable number, because it can be changed into a prime (66193922341) 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 95 ways as a sum of consecutive naturals, for example, 5120485 + ... + 5133395.

It is an arithmetic number, because the mean of its divisors is an integer number (860877472).

Almost surely, 2^66193922340 is an apocalyptic number.

66193922340 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 66193922340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123966355968).

66193922340 is an abundant number, since it is smaller than the sum of its proper divisors (181738789596).

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

66193922340 is a wasteful number, since it uses less digits than its factorization.

66193922340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 66193922340 in words is "sixty-six billion, one hundred ninety-three million, nine hundred twenty-two thousand, three hundred forty".