234252738720 has 1728 divisors, whose sum is σ = 1121588342784. Its totient is φ = 44834549760.

The previous prime is 234252738701. The next prime is 234252738721. The reversal of 234252738720 is 27837252432.

234252738720 is a `hidden beast` number, since 2 + 3 + 42 + 527 + 3 + 87 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (234252738721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 505945209 + ... + 505945671.

It is an arithmetic number, because the mean of its divisors is an integer number (649067328).

Almost surely, 2^234252738720 is an apocalyptic number.

234252738720 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 234252738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560794171392).

234252738720 is an abundant number, since it is smaller than the sum of its proper divisors (887335604064).

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

234252738720 is a wasteful number, since it uses less digits than its factorization.

234252738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 234252738720 in words is "two hundred thirty-four billion, two hundred fifty-two million, seven hundred thirty-eight thousand, seven hundred twenty".