427356504576 has 320 divisors, whose sum is σ = 1309309056000. Its totient is φ = 137487974400.

The previous prime is 427356504541. The next prime is 427356504581. The reversal of 427356504576 is 675405653724.

427356504576 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 5 + 65 + 0 + 4 + 576 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 192415146 + ... + 192417366.

It is an arithmetic number, because the mean of its divisors is an integer number (4091590800).

Almost surely, 2^427356504576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427356504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654654528000).

427356504576 is an abundant number, since it is smaller than the sum of its proper divisors (881952551424).

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

427356504576 is a wasteful number, since it uses less digits than its factorization.

427356504576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 427356504576 in words is "four hundred twenty-seven billion, three hundred fifty-six million, five hundred four thousand, five hundred seventy-six".