1984671732960 has 480 divisors, whose sum is σ = 8067919749120. Its totient is φ = 450064677888.

The previous prime is 1984671732959. The next prime is 1984671733001. The reversal of 1984671732960 is 692371764891.

1984671732960 is a `hidden beast` number, since 1 + 98 + 467 + 1 + 7 + 3 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1984671732960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11435311 + ... + 11607569.

It is an arithmetic number, because the mean of its divisors is an integer number (16808166144).

Almost surely, 2^{1984671732960} is an apocalyptic number.

1984671732960 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 1984671732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033959874560).

1984671732960 is an abundant number, since it is smaller than the sum of its proper divisors (6083248016160).

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

1984671732960 is a wasteful number, since it uses less digits than its factorization.

1984671732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172420 (or 172403 counting only the distinct ones).

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

The spelling of 1984671732960 in words is "one trillion, nine hundred eighty-four billion, six hundred seventy-one million, seven hundred thirty-two thousand, nine hundred sixty".