66848906880000 has 7040 divisors, whose sum is σ = 331507883520000. Its totient is φ = 12931301376000.

The previous prime is 66848906879999. The next prime is 66848906880031. The reversal of 66848906880000 is 8860984866.

It is a super-2 number, since 2×66848906880000² (a number of 28 digits) contains 22 as substring.

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 66848906880000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1133032319971 + ... + 1133032320029.

It is an arithmetic number, because the mean of its divisors is an integer number (47089188000).

Almost surely, 2^{66848906880000} is an apocalyptic number.

66848906880000 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 66848906880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165753941760000).

66848906880000 is an abundant number, since it is smaller than the sum of its proper divisors (264658976640000).

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

66848906880000 is a wasteful number, since it uses less digits than its factorization.

66848906880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 66848906880000 in words is "sixty-six trillion, eight hundred forty-eight billion, nine hundred six million, eight hundred eighty thousand".