1797763968000 has 2112 divisors, whose sum is σ = 8703815178240. Its totient is φ = 344604672000.

The previous prime is 1797763967981. The next prime is 1797763968037. The reversal of 1797763968000 is 8693677971.

1797763968000 is a `hidden beast` number, since 17 + 97 + 76 + 396 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 1153151221 + ... + 1153152779.

Almost surely, 2^{1797763968000} is an apocalyptic number.

1797763968000 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 1797763968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351907589120).

1797763968000 is an abundant number, since it is smaller than the sum of its proper divisors (6906051210240).

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

1797763968000 is a wasteful number, since it uses less digits than its factorization.

1797763968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 1797763968000 in words is "one trillion, seven hundred ninety-seven billion, seven hundred sixty-three million, nine hundred sixty-eight thousand".