66814013760 has 448 divisors, whose sum is σ = 250952325120. Its totient is φ = 14902272000.

The previous prime is 66814013759. The next prime is 66814013801. The reversal of 66814013760 is 6731041866.

66814013760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66814013760² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5447635 + ... + 5459885.

It is an arithmetic number, because the mean of its divisors is an integer number (560161440).

Almost surely, 2^66814013760 is an apocalyptic number.

66814013760 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 66814013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476162560).

66814013760 is an abundant number, since it is smaller than the sum of its proper divisors (184138311360).

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

66814013760 is a wasteful number, since it uses less digits than its factorization.

66814013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 66814013760 in words is "sixty-six billion, eight hundred fourteen million, thirteen thousand, seven hundred sixty".