1776668416 has 144 divisors (see below), whose sum is σ = 3914668800. Its totient is φ = 801792000.

The previous prime is 1776668347. The next prime is 1776668417. The reversal of 1776668416 is 6148666771.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1776668417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11765941 + ... + 11766091.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 2^1776668416 is an apocalyptic number.

1776668416 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 1776668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957334400).

1776668416 is an abundant number, since it is smaller than the sum of its proper divisors (2138000384).

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

1776668416 is a wasteful number, since it uses less digits than its factorization.

1776668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 1776668416 is about 42150.5446702649. The cubic root of 1776668416 is about 1211.1616956069.

The spelling of 1776668416 in words is "one billion, seven hundred seventy-six million, six hundred sixty-eight thousand, four hundred sixteen".