1679763778560 has 2112 divisors, whose sum is σ = 7294211020800. Its totient is φ = 365197787136.

The previous prime is 1679763778559. The next prime is 1679763778573. The reversal of 1679763778560 is 658773679761.

1679763778560 is a `hidden beast` number, since 167 + 97 + 6 + 377 + 8 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 21262832601 + ... + 21262832679.

It is an arithmetic number, because the mean of its divisors is an integer number (3453698400).

Almost surely, 2^{1679763778560} is an apocalyptic number.

1679763778560 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 1679763778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647105510400).

1679763778560 is an abundant number, since it is smaller than the sum of its proper divisors (5614447242240).

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

1679763778560 is a wasteful number, since it uses less digits than its factorization.

1679763778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 1679763778560 in words is "one trillion, six hundred seventy-nine billion, seven hundred sixty-three million, seven hundred seventy-eight thousand, five hundred sixty".