1966973234688 has 480 divisors, whose sum is σ = 7388722091520. Its totient is φ = 510900203520.

The previous prime is 1966973234651. The next prime is 1966973234693. The reversal of 1966973234688 is 8864323796691.

1966973234688 is a `hidden beast` number, since 1 + 96 + 6 + 9 + 73 + 2 + 3 + 468 + 8 = 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 47 ways as a sum of consecutive naturals, for example, 7319145 + ... + 7583127.

It is an arithmetic number, because the mean of its divisors is an integer number (15393171024).

Almost surely, 2^{1966973234688} is an apocalyptic number.

1966973234688 is a gapful number since it is divisible by the number (18) 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 1966973234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694361045760).

1966973234688 is an abundant number, since it is smaller than the sum of its proper divisors (5421748856832).

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

1966973234688 is a wasteful number, since it uses less digits than its factorization.

1966973234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264035 (or 264006 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 1966973234688 in words is "one trillion, nine hundred sixty-six billion, nine hundred seventy-three million, two hundred thirty-four thousand, six hundred eighty-eight".