66734715125760 has 960 divisors, whose sum is σ = 238625127014400. Its totient is φ = 15789352550400.

The previous prime is 66734715125747. The next prime is 66734715125789. The reversal of 66734715125760 is 6752151743766.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66734715125694 and 66734715125703.

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, 19007322405 + ... + 19007325915.

It is an arithmetic number, because the mean of its divisors is an integer number (248567840640).

Almost surely, 2^{66734715125760} is an apocalyptic number.

66734715125760 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 66734715125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119312563507200).

66734715125760 is an abundant number, since it is smaller than the sum of its proper divisors (171890411888640).

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

66734715125760 is a wasteful number, since it uses less digits than its factorization.

66734715125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 66734715125760 in words is "sixty-six trillion, seven hundred thirty-four billion, seven hundred fifteen million, one hundred twenty-five thousand, seven hundred sixty".