1484784967680 has 1792 divisors, whose sum is σ = 6522583449600. Its totient is φ = 312984207360.

The previous prime is 1484784967669. The next prime is 1484784967727. The reversal of 1484784967680 is 867694874841.

1484784967680 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 78 + 496 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 = 1484784967599 and 1484784967608.

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 127 ways as a sum of consecutive naturals, for example, 5519646586 + ... + 5519646854.

Almost surely, 2^{1484784967680} is an apocalyptic number.

1484784967680 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 1484784967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261291724800).

1484784967680 is an abundant number, since it is smaller than the sum of its proper divisors (5037798481920).

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

1484784967680 is a wasteful number, since it uses less digits than its factorization.

1484784967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 1484784967680 in words is "one trillion, four hundred eighty-four billion, seven hundred eighty-four million, nine hundred sixty-seven thousand, six hundred eighty".