1731990996576 has 480 divisors, whose sum is σ = 5482972645920. Its totient is φ = 534419472384.

The previous prime is 1731990996539. The next prime is 1731990996629. The reversal of 1731990996576 is 6756990991371.

1731990996576 is a `hidden beast` number, since 17 + 31 + 9 + 9 + 0 + 9 + 9 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 682153515 + ... + 682156053.

It is an arithmetic number, because the mean of its divisors is an integer number (11422859679).

Almost surely, 2^{1731990996576} is an apocalyptic number.

1731990996576 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 1731990996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741486322960).

1731990996576 is an abundant number, since it is smaller than the sum of its proper divisors (3750981649344).

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

1731990996576 is a wasteful number, since it uses less digits than its factorization.

1731990996576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 173604060, while the sum is 72.

The spelling of 1731990996576 in words is "one trillion, seven hundred thirty-one billion, nine hundred ninety million, nine hundred ninety-six thousand, five hundred seventy-six".