1683077066496 has 432 divisors, whose sum is σ = 5949747148800. Its totient is φ = 464293638144.

The previous prime is 1683077066479. The next prime is 1683077066521. The reversal of 1683077066496 is 6946607703861.

1683077066496 is a `hidden beast` number, since 1 + 6 + 83 + 0 + 7 + 7 + 0 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12561585 + ... + 12694863.

Almost surely, 2^{1683077066496} is an apocalyptic number.

1683077066496 is a gapful number since it is divisible by the number (16) 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 1683077066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974873574400).

1683077066496 is an abundant number, since it is smaller than the sum of its proper divisors (4266670082304).

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

1683077066496 is an equidigital number, since it uses as much as digits as its factorization.

1683077066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133346 (or 133320 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1683077066496 in words is "one trillion, six hundred eighty-three billion, seventy-seven million, sixty-six thousand, four hundred ninety-six".