66962336208768 has 2304 divisors, whose sum is σ = 275279000256000. Its totient is φ = 15129622609920.

The previous prime is 66962336208731. The next prime is 66962336208827. The reversal of 66962336208768 is 86780263326966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66962336208696 and 66962336208705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66365050248 + ... + 66365051256.

It is an arithmetic number, because the mean of its divisors is an integer number (119478732750).

Almost surely, 2^{66962336208768} 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 66962336208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137639500128000).

66962336208768 is an abundant number, since it is smaller than the sum of its proper divisors (208316664047232).

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

66962336208768 is a wasteful number, since it uses less digits than its factorization.

66962336208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 66962336208768 in words is "sixty-six trillion, nine hundred sixty-two billion, three hundred thirty-six million, two hundred eight thousand, seven hundred sixty-eight".