66963090942720 has 1152 divisors, whose sum is σ = 283594761031680. Its totient is φ = 14629286707200.

The previous prime is 66963090942703. The next prime is 66963090942757. The reversal of 66963090942720 is 2724909036966.

66963090942720 is a `hidden beast` number, since 6 + 6 + 96 + 30 + 90 + 9 + 427 + 2 + 0 = 666.

66963090942720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8908216402 + ... + 8908223918.

It is an arithmetic number, because the mean of its divisors is an integer number (246176007840).

Almost surely, 2^{66963090942720} is an apocalyptic number.

66963090942720 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 66963090942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141797380515840).

66963090942720 is an abundant number, since it is smaller than the sum of its proper divisors (216631670088960).

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

66963090942720 is a wasteful number, since it uses less digits than its factorization.

66963090942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 66963090942720 in words is "sixty-six trillion, nine hundred sixty-three billion, ninety million, nine hundred forty-two thousand, seven hundred twenty".