66684900330720 has 3840 divisors, whose sum is σ = 299756484034560. Its totient is φ = 13800994099200.

The previous prime is 66684900330679. The next prime is 66684900330767. The reversal of 66684900330720 is 2703300948666.

66684900330720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 525077955297 + ... + 525077955423.

It is an arithmetic number, because the mean of its divisors is an integer number (78061584384).

Almost surely, 2^{66684900330720} is an apocalyptic number.

66684900330720 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 66684900330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149878242017280).

66684900330720 is an abundant number, since it is smaller than the sum of its proper divisors (233071583703840).

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

66684900330720 is a wasteful number, since it uses less digits than its factorization.

66684900330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 66684900330720 in words is "sixty-six trillion, six hundred eighty-four billion, nine hundred million, three hundred thirty thousand, seven hundred twenty".