1977168384 has 120 divisors (see below), whose sum is σ = 5730539100. Its totient is φ = 656252928.

The previous prime is 1977168373. The next prime is 1977168407. The reversal of 1977168384 is 4838617791.

1977168384 is a `hidden beast` number, since 197 + 71 + 6 + 8 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1845561600 + 131606784 = 42960^2 + 11472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1977168384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275642 + ... + 1277190.

Almost surely, 2^1977168384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865269550).

1977168384 is an abundant number, since it is smaller than the sum of its proper divisors (3753370716).

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

1977168384 is a wasteful number, since it uses less digits than its factorization.

1977168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1831 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1977168384 is about 44465.3616200296. The cubic root of 1977168384 is about 1255.1083506184.

The spelling of 1977168384 in words is "one billion, nine hundred seventy-seven million, one hundred sixty-eight thousand, three hundred eighty-four".