1662984282960 has 2880 divisors, whose sum is σ = 8314228855296. Its totient is φ = 299553914880.

The previous prime is 1662984282931. The next prime is 1662984282961. The reversal of 1662984282960 is 692824892661.

1662984282960 is a `hidden beast` number, since 1 + 6 + 6 + 298 + 4 + 282 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662984282961) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 3638915052 + ... + 3638915508.

Almost surely, 2^{1662984282960} is an apocalyptic number.

1662984282960 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 1662984282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157114427648).

1662984282960 is an abundant number, since it is smaller than the sum of its proper divisors (6651244572336).

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

1662984282960 is a wasteful number, since it uses less digits than its factorization.

1662984282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1662984282960 in words is "one trillion, six hundred sixty-two billion, nine hundred eighty-four million, two hundred eighty-two thousand, nine hundred sixty".