234023755680 has 1152 divisors, whose sum is σ = 981112414464. Its totient is φ = 50031820800.

The previous prime is 234023755661. The next prime is 234023755699. The reversal of 234023755680 is 86557320432.

234023755680 is a `hidden beast` number, since 23 + 40 + 2 + 37 + 556 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234023755661) and next prime (234023755699).

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 191 ways as a sum of consecutive naturals, for example, 447463899 + ... + 447464421.

It is an arithmetic number, because the mean of its divisors is an integer number (851660082).

Almost surely, 2^234023755680 is an apocalyptic number.

234023755680 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 234023755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490556207232).

234023755680 is an abundant number, since it is smaller than the sum of its proper divisors (747088658784).

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

234023755680 is a wasteful number, since it uses less digits than its factorization.

234023755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 234023755680 in words is "two hundred thirty-four billion, twenty-three million, seven hundred fifty-five thousand, six hundred eighty".