1979983284480 has 864 divisors, whose sum is σ = 7540393835520. Its totient is φ = 496373391360.

The previous prime is 1979983284463. The next prime is 1979983284527. The reversal of 1979983284480 is 844823899791.

1979983284480 is a `hidden beast` number, since 1 + 9 + 79 + 98 + 3 + 28 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 1979983284399 and 1979983284408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422078935 + ... + 422083625.

It is an arithmetic number, because the mean of its divisors is an integer number (8727307680).

Almost surely, 2^{1979983284480} is an apocalyptic number.

1979983284480 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 1979983284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770196917760).

1979983284480 is an abundant number, since it is smaller than the sum of its proper divisors (5560410551040).

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

1979983284480 is an equidigital number, since it uses as much as digits as its factorization.

1979983284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 1979983284480 in words is "one trillion, nine hundred seventy-nine billion, nine hundred eighty-three million, two hundred eighty-four thousand, four hundred eighty".