527778768384 has 480 divisors, whose sum is σ = 1809954322176. Its totient is φ = 150404014080.

The previous prime is 527778768383. The next prime is 527778768389. The reversal of 527778768384 is 483867877725.

It is a happy number.

527778768384 is a `hidden beast` number, since 52 + 77 + 78 + 7 + 68 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527778768383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601799754 + ... + 601800630.

Almost surely, 2^527778768384 is an apocalyptic number.

527778768384 is a gapful number since it is divisible by the number (54) 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 527778768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904977161088).

527778768384 is an abundant number, since it is smaller than the sum of its proper divisors (1282175553792).

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

527778768384 is an frugal number, since it uses more digits than its factorization.

527778768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1580 counting only the distinct ones).

The product of its digits is 885104640, while the sum is 72.

The spelling of 527778768384 in words is "five hundred twenty-seven billion, seven hundred seventy-eight million, seven hundred sixty-eight thousand, three hundred eighty-four".