66747321188352 has 1024 divisors, whose sum is σ = 230120836300800. Its totient is φ = 18728091648000.

The previous prime is 66747321188329. The next prime is 66747321188371. The reversal of 66747321188352 is 25388112374766.

It is a happy number.

66747321188352 is a `hidden beast` number, since 6 + 6 + 7 + 473 + 21 + 18 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 66747321188352.

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, 88877923977 + ... + 88877924727.

It is an arithmetic number, because the mean of its divisors is an integer number (224727379200).

Almost surely, 2^{66747321188352} 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 66747321188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115060418150400).

66747321188352 is an abundant number, since it is smaller than the sum of its proper divisors (163373515112448).

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

66747321188352 is a wasteful number, since it uses less digits than its factorization.

66747321188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1003 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 66747321188352 in words is "sixty-six trillion, seven hundred forty-seven billion, three hundred twenty-one million, one hundred eighty-eight thousand, three hundred fifty-two".