427091706720 has 1944 divisors, whose sum is σ = 1938840596784. Its totient is φ = 88462015488.

The previous prime is 427091706689. The next prime is 427091706731. The reversal of 427091706720 is 27607190724.

427091706720 is a `hidden beast` number, since 427 + 0 + 91 + 70 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 18569204629 + ... + 18569204651.

It is an arithmetic number, because the mean of its divisors is an integer number (997345986).

Almost surely, 2^427091706720 is an apocalyptic number.

427091706720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427091706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969420298392).

427091706720 is an abundant number, since it is smaller than the sum of its proper divisors (1511748890064).

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

427091706720 is an equidigital number, since it uses as much as digits as its factorization.

427091706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 427091706720 in words is "four hundred twenty-seven billion, ninety-one million, seven hundred six thousand, seven hundred twenty".