427754323360 has 576 divisors, whose sum is σ = 1353676665600. Its totient is φ = 124037775360.

The previous prime is 427754323331. The next prime is 427754323369. The reversal of 427754323360 is 63323457724.

It is a happy number.

It is a super-2 number, since 2×427754323360² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427754323360.

It is not an unprimeable number, because it can be changed into a prime (427754323369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265850236 + ... + 265851844.

It is an arithmetic number, because the mean of its divisors is an integer number (2350133100).

Almost surely, 2^427754323360 is an apocalyptic number.

427754323360 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 427754323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676838332800).

427754323360 is an abundant number, since it is smaller than the sum of its proper divisors (925922342240).

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

427754323360 is a wasteful number, since it uses less digits than its factorization.

427754323360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 46.

The spelling of 427754323360 in words is "four hundred twenty-seven billion, seven hundred fifty-four million, three hundred twenty-three thousand, three hundred sixty".