427382478274752 has 2016 divisors, whose sum is σ = 1685250689740800. Its totient is φ = 100748214927360.

The previous prime is 427382478274729. The next prime is 427382478274793. The reversal of 427382478274752 is 257472874283724.

427382478274752 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 82 + 4 + 78 + 2 + 7 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128768446149 + ... + 128768449467.

Almost surely, 2^{427382478274752} is an apocalyptic number.

427382478274752 is a gapful number since it is divisible by the number (42) 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 427382478274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842625344870400).

427382478274752 is an abundant number, since it is smaller than the sum of its proper divisors (1257868211466048).

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

427382478274752 is a wasteful number, since it uses less digits than its factorization.

427382478274752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3691 counting only the distinct ones).

The product of its digits is 2360279040, while the sum is 72.

The spelling of 427382478274752 in words is "four hundred twenty-seven trillion, three hundred eighty-two billion, four hundred seventy-eight million, two hundred seventy-four thousand, seven hundred fifty-two".