180778936320 has 672 divisors, whose sum is σ = 662674226760. Its totient is φ = 47297986560.

The previous prime is 180778936291. The next prime is 180778936333. The reversal of 180778936320 is 23639877081.

180778936320 is a `hidden beast` number, since 180 + 7 + 7 + 89 + 363 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109502751744 + 71276184576 = 330912^2 + 266976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 455362362 + ... + 455362758.

Almost surely, 2^180778936320 is an apocalyptic number.

180778936320 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 180778936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331337113380).

180778936320 is an abundant number, since it is smaller than the sum of its proper divisors (481895290440).

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

180778936320 is an frugal number, since it uses more digits than its factorization.

180778936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 180778936320 in words is "one hundred eighty billion, seven hundred seventy-eight million, nine hundred thirty-six thousand, three hundred twenty".