1997846972800 has 576 divisors, whose sum is σ = 5886298252800. Its totient is φ = 667768442880.

The previous prime is 1997846972761. The next prime is 1997846972813. The reversal of 1997846972800 is 82796487991.

It is a super-2 number, since 2×1997846972800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 1997846972800.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3087862077 + ... + 3087862723.

It is an arithmetic number, because the mean of its divisors is an integer number (10219267800).

Almost surely, 2^{1997846972800} is an apocalyptic number.

1997846972800 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 1997846972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943149126400).

1997846972800 is an abundant number, since it is smaller than the sum of its proper divisors (3888451280000).

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

1997846972800 is a wasteful number, since it uses less digits than its factorization.

1997846972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 70.

The spelling of 1997846972800 in words is "one trillion, nine hundred ninety-seven billion, eight hundred forty-six million, nine hundred seventy-two thousand, eight hundred".