427864006656 has 336 divisors, whose sum is σ = 1294537476960. Its totient is φ = 135987855360.

The previous prime is 427864006651. The next prime is 427864006657. The reversal of 427864006656 is 656600468724.

It is a super-2 number, since 2×427864006656² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427864006651) 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, 177462091 + ... + 177464501.

It is an arithmetic number, because the mean of its divisors is an integer number (3852790110).

Almost surely, 2^427864006656 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 427864006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647268738480).

427864006656 is an abundant number, since it is smaller than the sum of its proper divisors (866673470304).

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

427864006656 is a wasteful number, since it uses less digits than its factorization.

427864006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 427864006656 in words is "four hundred twenty-seven billion, eight hundred sixty-four million, six thousand, six hundred fifty-six".