1482066784800 has 1440 divisors, whose sum is σ = 6498191589120. Its totient is φ = 321540710400.

The previous prime is 1482066784799. The next prime is 1482066784811. The reversal of 1482066784800 is 84876602841.

1482066784800 is a `hidden beast` number, since 1 + 482 + 0 + 6 + 6 + 7 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1482066784800² (a number of 25 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 802417477 + ... + 802419323.

It is an arithmetic number, because the mean of its divisors is an integer number (4512633048).

Almost surely, 2^{1482066784800} is an apocalyptic number.

1482066784800 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 1482066784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249095794560).

1482066784800 is an abundant number, since it is smaller than the sum of its proper divisors (5016124804320).

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

1482066784800 is a wasteful number, since it uses less digits than its factorization.

1482066784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1482066784800 in words is "one trillion, four hundred eighty-two billion, sixty-six million, seven hundred eighty-four thousand, eight hundred".