66249681504 has 192 divisors, whose sum is σ = 181803061440. Its totient is φ = 21098004480.

The previous prime is 66249681493. The next prime is 66249681527. The reversal of 66249681504 is 40518694266.

It is a super-3 number, since 3×66249681504³ (a number of 33 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 196586424 + ... + 196586760.

It is an arithmetic number, because the mean of its divisors is an integer number (946890945).

Almost surely, 2^66249681504 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 66249681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90901530720).

66249681504 is an abundant number, since it is smaller than the sum of its proper divisors (115553379936).

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

66249681504 is a wasteful number, since it uses less digits than its factorization.

66249681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 66249681504 in words is "sixty-six billion, two hundred forty-nine million, six hundred eighty-one thousand, five hundred four".