427968532546560 has 528 divisors, whose sum is σ = 1534908119427072. Its totient is φ = 110142421401600.

The previous prime is 427968532546559. The next prime is 427968532546579. The reversal of 427968532546560 is 65645235869724.

427968532546560 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 6 + 8 + 5 + 3 + 2 + 54 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523843990 + ... + 524660330.

Almost surely, 2^{427968532546560} is an apocalyptic number.

427968532546560 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 427968532546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767454059713536).

427968532546560 is an abundant number, since it is smaller than the sum of its proper divisors (1106939586880512).

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

427968532546560 is a wasteful number, since it uses less digits than its factorization.

427968532546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816770 (or 816749 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 427968532546560 in words is "four hundred twenty-seven trillion, nine hundred sixty-eight billion, five hundred thirty-two million, five hundred forty-six thousand, five hundred sixty".