427674562560 has 624 divisors, whose sum is σ = 1710304390080. Its totient is φ = 96825507840.

The previous prime is 427674562529. The next prime is 427674562571. The reversal of 427674562560 is 65265476724.

427674562560 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 7 + 4 + 5 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427674562497 and 427674562506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140634640 + ... + 140637680.

It is an arithmetic number, because the mean of its divisors is an integer number (2740872420).

Almost surely, 2^427674562560 is an apocalyptic number.

427674562560 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 427674562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855152195040).

427674562560 is an abundant number, since it is smaller than the sum of its proper divisors (1282629827520).

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

427674562560 is a wasteful number, since it uses less digits than its factorization.

427674562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 427674562560 in words is "four hundred twenty-seven billion, six hundred seventy-four million, five hundred sixty-two thousand, five hundred sixty".