1676423670768 has 1600 divisors, whose sum is σ = 6690387787776. Its totient is φ = 391910400000.

The previous prime is 1676423670749. The next prime is 1676423670773. The reversal of 1676423670768 is 8670763246761.

1676423670768 is a `hidden beast` number, since 1 + 6 + 76 + 423 + 6 + 70 + 76 + 8 = 666.

It is a super-4 number, since 4×1676423670768⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6678978643 + ... + 6678978893.

Almost surely, 2^{1676423670768} is an apocalyptic number.

1676423670768 is a gapful number since it is divisible by the number (18) 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 1676423670768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345193893888).

1676423670768 is an abundant number, since it is smaller than the sum of its proper divisors (5013964117008).

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

1676423670768 is a wasteful number, since it uses less digits than its factorization.

1676423670768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 1676423670768 in words is "one trillion, six hundred seventy-six billion, four hundred twenty-three million, six hundred seventy thousand, seven hundred sixty-eight".