1684608464160 has 1152 divisors, whose sum is σ = 6390961274880. Its totient is φ = 418300194816.

The previous prime is 1684608464159. The next prime is 1684608464183. The reversal of 1684608464160 is 614648064861.

1684608464160 is a `hidden beast` number, since 1 + 6 + 8 + 460 + 84 + 6 + 41 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1684608464097 and 1684608464106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4398455329 + ... + 4398455711.

It is an arithmetic number, because the mean of its divisors is an integer number (5547709440).

Almost surely, 2^{1684608464160} is an apocalyptic number.

1684608464160 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 1684608464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195480637440).

1684608464160 is an abundant number, since it is smaller than the sum of its proper divisors (4706352810720).

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

1684608464160 is a wasteful number, since it uses less digits than its factorization.

1684608464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1684608464160 in words is "one trillion, six hundred eighty-four billion, six hundred eight million, four hundred sixty-four thousand, one hundred sixty".