1998073461600 has 720 divisors, whose sum is σ = 7644290734080. Its totient is φ = 506912947200.

The previous prime is 1998073461551. The next prime is 1998073461649. The reversal of 1998073461600 is 61643708991.

1998073461600 is a `hidden beast` number, since 19 + 9 + 8 + 0 + 7 + 3 + 4 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1998073461551) and next prime (1998073461649).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 284662891 + ... + 284669909.

It is an arithmetic number, because the mean of its divisors is an integer number (10617070464).

Almost surely, 2^{1998073461600} is an apocalyptic number.

1998073461600 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 1998073461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822145367040).

1998073461600 is an abundant number, since it is smaller than the sum of its proper divisors (5646217272480).

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

1998073461600 is a wasteful number, since it uses less digits than its factorization.

1998073461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1998073461600 in words is "one trillion, nine hundred ninety-eight billion, seventy-three million, four hundred sixty-one thousand, six hundred".