427517685504 has 1152 divisors, whose sum is σ = 1661467852800. Its totient is φ = 105285795840.

The previous prime is 427517685479. The next prime is 427517685521. The reversal of 427517685504 is 405586715724.

It is a happy number.

427517685504 is a `hidden beast` number, since 4 + 2 + 7 + 51 + 7 + 6 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 991920169 + ... + 991920599.

It is an arithmetic number, because the mean of its divisors is an integer number (1442246400).

Almost surely, 2^427517685504 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 427517685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830733926400).

427517685504 is an abundant number, since it is smaller than the sum of its proper divisors (1233950167296).

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

427517685504 is a wasteful number, since it uses less digits than its factorization.

427517685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 427517685504 in words is "four hundred twenty-seven billion, five hundred seventeen million, six hundred eighty-five thousand, five hundred four".