427954582368 has 144 divisors (see below), whose sum is σ = 1290207574656. Its totient is φ = 134318684160.

The previous prime is 427954582339. The next prime is 427954582369. The reversal of 427954582368 is 863285459724.

427954582368 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 545 + 8 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×427954582368³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427954582369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317421 + ... + 978092.

It is an arithmetic number, because the mean of its divisors is an integer number (8959774824).

Almost surely, 2^427954582368 is an apocalyptic number.

427954582368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427954582368 is an abundant number, since it is smaller than the sum of its proper divisors (862252992288).

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

427954582368 is a wasteful number, since it uses less digits than its factorization.

427954582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295597 (or 1295586 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 427954582368 in words is "four hundred twenty-seven billion, nine hundred fifty-four million, five hundred eighty-two thousand, three hundred sixty-eight".