1683768228480 has 768 divisors, whose sum is σ = 6541894195200. Its totient is φ = 411373043712.

The previous prime is 1683768228437. The next prime is 1683768228481. The reversal of 1683768228480 is 848228673861.

1683768228480 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 76 + 82 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×1683768228480² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1683768228481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276978081 + ... + 276984159.

It is an arithmetic number, because the mean of its divisors is an integer number (8518091400).

Almost surely, 2^{1683768228480} is an apocalyptic number.

1683768228480 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 1683768228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270947097600).

1683768228480 is an abundant number, since it is smaller than the sum of its proper divisors (4858125966720).

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

1683768228480 is a wasteful number, since it uses less digits than its factorization.

1683768228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 1683768228480 in words is "one trillion, six hundred eighty-three billion, seven hundred sixty-eight million, two hundred twenty-eight thousand, four hundred eighty".