427461517665 has 192 divisors, whose sum is σ = 943750778880. Its totient is φ = 174112727040.

The previous prime is 427461517627. The next prime is 427461517687. The reversal of 427461517665 is 566715164724.

427461517665 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 61 + 517 + 6 + 65 = 666.

It is not a de Polignac number, because 427461517665 - 2⁸ = 427461517409 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51916389 + ... + 51924621.

It is an arithmetic number, because the mean of its divisors is an integer number (4915368640).

Almost surely, 2^427461517665 is an apocalyptic number.

427461517665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427461517665 is an abundant number, since it is smaller than the sum of its proper divisors (516289261215).

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

427461517665 is a wasteful number, since it uses less digits than its factorization.

427461517665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8701 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 427461517665 in words is "four hundred twenty-seven billion, four hundred sixty-one million, five hundred seventeen thousand, six hundred sixty-five".