1978375727232 has 192 divisors, whose sum is σ = 5712983616600. Its totient is φ = 657146068992.

The previous prime is 1978375727221. The next prime is 1978375727269. The reversal of 1978375727232 is 2327275738791.

It is a happy number.

1978375727232 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 37 + 572 + 7 + 23 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1971283392576 + 7092334656 = 1404024^2 + 84216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1978375727232.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443878348 + ... + 443882804.

Almost surely, 2^{1978375727232} is an apocalyptic number.

1978375727232 is a gapful number since it is divisible by the number (12) 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 1978375727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856491808300).

1978375727232 is an abundant number, since it is smaller than the sum of its proper divisors (3734607889368).

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

1978375727232 is a wasteful number, since it uses less digits than its factorization.

1978375727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5728 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 1978375727232 in words is "one trillion, nine hundred seventy-eight billion, three hundred seventy-five million, seven hundred twenty-seven thousand, two hundred thirty-two".