66648124325376 has 800 divisors, whose sum is σ = 222543597298176. Its totient is φ = 19682611200000.

The previous prime is 66648124325359. The next prime is 66648124325407. The reversal of 66648124325376 is 67352342184666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29608228251 + ... + 29608230501.

Almost surely, 2^{66648124325376} is an apocalyptic number.

66648124325376 is a gapful number since it is divisible by the number (66) 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 66648124325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111271798649088).

66648124325376 is an abundant number, since it is smaller than the sum of its proper divisors (155895472972800).

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

66648124325376 is a wasteful number, since it uses less digits than its factorization.

66648124325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3891 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 66648124325376 in words is "sixty-six trillion, six hundred forty-eight billion, one hundred twenty-four million, three hundred twenty-five thousand, three hundred seventy-six".