1684421464320 has 2880 divisors, whose sum is σ = 7795335905280. Its totient is φ = 338443370496.

The previous prime is 1684421464307. The next prime is 1684421464351. The reversal of 1684421464320 is 234641244861.

It is a happy number.

1684421464320 is a `hidden beast` number, since 1 + 6 + 8 + 442 + 146 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 14906384584 + ... + 14906384696.

It is an arithmetic number, because the mean of its divisors is an integer number (2706713856).

Almost surely, 2^{1684421464320} is an apocalyptic number.

1684421464320 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 1684421464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897667952640).

1684421464320 is an abundant number, since it is smaller than the sum of its proper divisors (6110914440960).

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

1684421464320 is a wasteful number, since it uses less digits than its factorization.

1684421464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1684421464320 in words is "one trillion, six hundred eighty-four billion, four hundred twenty-one million, four hundred sixty-four thousand, three hundred twenty".