234164764753920 has 5760 divisors, whose sum is σ = 1179298695052800. Its totient is φ = 43282700697600.

The previous prime is 234164764753847. The next prime is 234164764753921. The reversal of 234164764753920 is 29357467461432.

234164764753920 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 6 + 4 + 76 + 4 + 7 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234164764753921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 449452523260 + ... + 449452523780.

It is an arithmetic number, because the mean of its divisors is an integer number (204739356780).

Almost surely, 2^{234164764753920} is an apocalyptic number.

234164764753920 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 234164764753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589649347526400).

234164764753920 is an abundant number, since it is smaller than the sum of its proper divisors (945133930298880).

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

234164764753920 is a wasteful number, since it uses less digits than its factorization.

234164764753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 234164764753920 in words is "two hundred thirty-four trillion, one hundred sixty-four billion, seven hundred sixty-four million, seven hundred fifty-three thousand, nine hundred twenty".