1997934724800 has 2016 divisors, whose sum is σ = 9038646489600. Its totient is φ = 424472555520.

The previous prime is 1997934724783. The next prime is 1997934724801. The reversal of 1997934724800 is 84274397991.

1997934724800 is a `hidden beast` number, since 1 + 99 + 79 + 3 + 472 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1997934724801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37696881574 + ... + 37696881626.

It is an arithmetic number, because the mean of its divisors is an integer number (4483455600).

Almost surely, 2^{1997934724800} is an apocalyptic number.

1997934724800 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 1997934724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519323244800).

1997934724800 is an abundant number, since it is smaller than the sum of its proper divisors (7040711764800).

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

1997934724800 is an frugal number, since it uses more digits than its factorization.

1997934724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1997934724800 in words is "one trillion, nine hundred ninety-seven billion, nine hundred thirty-four million, seven hundred twenty-four thousand, eight hundred".