427473723456 has 560 divisors, whose sum is σ = 1463798952000. Its totient is φ = 122237227008.

The previous prime is 427473723451. The next prime is 427473723493. The reversal of 427473723456 is 654327374724.

427473723456 is a `hidden beast` number, since 4 + 27 + 473 + 72 + 34 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (427473723451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67860595 + ... + 67866893.

It is an arithmetic number, because the mean of its divisors is an integer number (2613926700).

Almost surely, 2^427473723456 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 427473723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731899476000).

427473723456 is an abundant number, since it is smaller than the sum of its proper divisors (1036325228544).

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

427473723456 is a wasteful number, since it uses less digits than its factorization.

427473723456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6389 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 54.

The spelling of 427473723456 in words is "four hundred twenty-seven billion, four hundred seventy-three million, seven hundred twenty-three thousand, four hundred fifty-six".