66348688896 has 960 divisors, whose sum is σ = 244514350080. Its totient is φ = 17557585920.

The previous prime is 66348688853. The next prime is 66348688963. The reversal of 66348688896 is 69888684366.

66348688896 is a `hidden beast` number, since 6 + 63 + 486 + 8 + 8 + 89 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934488541 + ... + 934488611.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 2^66348688896 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 66348688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122257175040).

66348688896 is an abundant number, since it is smaller than the sum of its proper divisors (178165661184).

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

66348688896 is an equidigital number, since it uses as much as digits as its factorization.

66348688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 66348688896 in words is "sixty-six billion, three hundred forty-eight million, six hundred eighty-eight thousand, eight hundred ninety-six".