1997269466400 has 2304 divisors, whose sum is σ = 8836759411200. Its totient is φ = 431176089600.

The previous prime is 1997269466399. The next prime is 1997269466431. The reversal of 1997269466400 is 46649627991.

1997269466400 is a `hidden beast` number, since 1 + 9 + 9 + 72 + 69 + 466 + 40 + 0 = 666.

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, 32742122370 + ... + 32742122430.

It is an arithmetic number, because the mean of its divisors is an integer number (3835399050).

Almost surely, 2^{1997269466400} is an apocalyptic number.

1997269466400 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 1997269466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418379705600).

1997269466400 is an abundant number, since it is smaller than the sum of its proper divisors (6839489944800).

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

1997269466400 is a wasteful number, since it uses less digits than its factorization.

1997269466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1997269466400 in words is "one trillion, nine hundred ninety-seven billion, two hundred sixty-nine million, four hundred sixty-six thousand, four hundred".