427282875360 has 768 divisors, whose sum is σ = 1757430743040. Its totient is φ = 95876352000.

The previous prime is 427282875323. The next prime is 427282875401. The reversal of 427282875360 is 63578282724.

427282875360 is a `hidden beast` number, since 4 + 2 + 7 + 28 + 2 + 87 + 536 + 0 = 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 = 427282875297 and 427282875306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33875455 + ... + 33888065.

It is an arithmetic number, because the mean of its divisors is an integer number (2288321280).

Almost surely, 2^427282875360 is an apocalyptic number.

427282875360 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 427282875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878715371520).

427282875360 is an abundant number, since it is smaller than the sum of its proper divisors (1330147867680).

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

427282875360 is a wasteful number, since it uses less digits than its factorization.

427282875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12700 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 427282875360 in words is "four hundred twenty-seven billion, two hundred eighty-two million, eight hundred seventy-five thousand, three hundred sixty".