1966950736000 has 128 divisors (see below), whose sum is σ = 4899293343360. Its totient is φ = 785338444800.

The previous prime is 1966950735989. The next prime is 1966950736001. The reversal of 1966950736000 is 6370596691.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1966950736001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8639629 + ... + 8864371.

It is an arithmetic number, because the mean of its divisors is an integer number (38275729245).

Almost surely, 2^{1966950736000} is an apocalyptic number.

1966950736000 is a gapful number since it is divisible by the number (10) 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 1966950736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449646671680).

1966950736000 is an abundant number, since it is smaller than the sum of its proper divisors (2932342607360).

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

1966950736000 is an equidigital number, since it uses as much as digits as its factorization.

1966950736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225319 (or 225297 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 1966950736000 in words is "one trillion, nine hundred sixty-six billion, nine hundred fifty million, seven hundred thirty-six thousand".