427733732160 has 1680 divisors, whose sum is σ = 1864578643200. Its totient is φ = 93201518592.

The previous prime is 427733732159. The next prime is 427733732183. The reversal of 427733732160 is 61237337724.

427733732160 is a `hidden beast` number, since 4 + 277 + 3 + 373 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×427733732160² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5414351001 + ... + 5414351079.

It is an arithmetic number, because the mean of its divisors is an integer number (1109868240).

Almost surely, 2^427733732160 is an apocalyptic number.

427733732160 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 427733732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932289321600).

427733732160 is an abundant number, since it is smaller than the sum of its proper divisors (1436844911040).

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

427733732160 is an frugal number, since it uses more digits than its factorization.

427733732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 427733732160 in words is "four hundred twenty-seven billion, seven hundred thirty-three million, seven hundred thirty-two thousand, one hundred sixty".