427811967360 has 512 divisors, whose sum is σ = 1617877324800. Its totient is φ = 106581049344.

The previous prime is 427811967343. The next prime is 427811967367. The reversal of 427811967360 is 63769118724.

427811967360 is a `hidden beast` number, since 4 + 278 + 1 + 1 + 9 + 6 + 7 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 427811967297 and 427811967306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427811967367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17077404 + ... + 17102436.

It is an arithmetic number, because the mean of its divisors is an integer number (3159916650).

Almost surely, 2^427811967360 is an apocalyptic number.

427811967360 is a gapful number since it is divisible by the number (40) 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 427811967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808938662400).

427811967360 is an abundant number, since it is smaller than the sum of its proper divisors (1190065357440).

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

427811967360 is a wasteful number, since it uses less digits than its factorization.

427811967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25127 (or 25109 counting only the distinct ones).

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

The spelling of 427811967360 in words is "four hundred twenty-seven billion, eight hundred eleven million, nine hundred sixty-seven thousand, three hundred sixty".