234066456720 has 240 divisors, whose sum is σ = 814487244480. Its totient is φ = 60201483264.

The previous prime is 234066456703. The next prime is 234066456797. The reversal of 234066456720 is 27654660432.

234066456720 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 6 + 64 + 567 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×234066456720² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2199459 + ... + 2303421.

It is an arithmetic number, because the mean of its divisors is an integer number (3393696852).

Almost surely, 2^234066456720 is an apocalyptic number.

234066456720 is a gapful number since it is divisible by the number (20) 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 234066456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407243622240).

234066456720 is an abundant number, since it is smaller than the sum of its proper divisors (580420787760).

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

234066456720 is a wasteful number, since it uses less digits than its factorization.

234066456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104094 (or 104085 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 234066456720 in words is "two hundred thirty-four billion, sixty-six million, four hundred fifty-six thousand, seven hundred twenty".