1797632630976 has 336 divisors, whose sum is σ = 6003899193600. Its totient is φ = 470477629440.

The previous prime is 1797632630957. The next prime is 1797632630977. The reversal of 1797632630976 is 6790362367971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1797632630977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15965725 + ... + 16077923.

It is an arithmetic number, because the mean of its divisors is an integer number (17868747600).

Almost surely, 2^{1797632630976} is an apocalyptic number.

1797632630976 is a gapful number since it is divisible by the number (16) 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 1797632630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001949596800).

1797632630976 is an abundant number, since it is smaller than the sum of its proper divisors (4206266562624).

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

1797632630976 is a wasteful number, since it uses less digits than its factorization.

1797632630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112372 (or 112355 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 66.

The spelling of 1797632630976 in words is "one trillion, seven hundred ninety-seven billion, six hundred thirty-two million, six hundred thirty thousand, nine hundred seventy-six".