1684957387344 has 640 divisors, whose sum is σ = 5913135820800. Its totient is φ = 411816007680.

The previous prime is 1684957387331. The next prime is 1684957387349. The reversal of 1684957387344 is 4437837594861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684957387349) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 372528667 + ... + 372533189.

It is an arithmetic number, because the mean of its divisors is an integer number (9239274720).

Almost surely, 2^{1684957387344} is an apocalyptic number.

1684957387344 is a gapful number since it is divisible by the number (14) 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 1684957387344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956567910400).

1684957387344 is an abundant number, since it is smaller than the sum of its proper divisors (4228178433456).

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

1684957387344 is a wasteful number, since it uses less digits than its factorization.

1684957387344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4563 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 69.

The spelling of 1684957387344 in words is "one trillion, six hundred eighty-four billion, nine hundred fifty-seven million, three hundred eighty-seven thousand, three hundred forty-four".