1936730664000 has 2688 divisors, whose sum is σ = 8371517806080. Its totient is φ = 422682624000.

The previous prime is 1936730663999. The next prime is 1936730664023. The reversal of 1936730664000 is 4660376391.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36542087974 + ... + 36542088026.

Almost surely, 2^{1936730664000} is an apocalyptic number.

1936730664000 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 1936730664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185758903040).

1936730664000 is an abundant number, since it is smaller than the sum of its proper divisors (6434787142080).

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

1936730664000 is a wasteful number, since it uses less digits than its factorization.

1936730664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1936730664000 in words is "one trillion, nine hundred thirty-six billion, seven hundred thirty million, six hundred sixty-four thousand".