234398640883680 has 960 divisors, whose sum is σ = 1038909983126400. Its totient is φ = 49455525224448.

The previous prime is 234398640883639. The next prime is 234398640883703. The reversal of 234398640883680 is 86388046893432.

234398640883680 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 9 + 86 + 408 + 83 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 234398640883599 and 234398640883608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55760572 + ... + 59816708.

It is an arithmetic number, because the mean of its divisors is an integer number (1082197899090).

Almost surely, 2^{234398640883680} is an apocalyptic number.

234398640883680 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 234398640883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519454991563200).

234398640883680 is an abundant number, since it is smaller than the sum of its proper divisors (804511342242720).

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

234398640883680 is a wasteful number, since it uses less digits than its factorization.

234398640883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056198 (or 4056167 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 234398640883680 in words is "two hundred thirty-four trillion, three hundred ninety-eight billion, six hundred forty million, eight hundred eighty-three thousand, six hundred eighty".