1916563783680 has 2304 divisors, whose sum is σ = 8864803059840. Its totient is φ = 386792423424.

The previous prime is 1916563783591. The next prime is 1916563783709. The reversal of 1916563783680 is 863873656191.

1916563783680 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 563 + 7 + 8 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83328860149 + ... + 83328860171.

Almost surely, 2^{1916563783680} is an apocalyptic number.

1916563783680 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 1916563783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432401529920).

1916563783680 is an abundant number, since it is smaller than the sum of its proper divisors (6948239276160).

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

1916563783680 is an frugal number, since it uses more digits than its factorization.

1916563783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1916563783680 in words is "one trillion, nine hundred sixteen billion, five hundred sixty-three million, seven hundred eighty-three thousand, six hundred eighty".