234627628744080 has 960 divisors, whose sum is σ = 985582943654400. Its totient is φ = 49142528409600.

The previous prime is 234627628744057. The next prime is 234627628744247. The reversal of 234627628744080 is 80447826726432.

It is a happy number.

234627628744080 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 276 + 287 + 4 + 4 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 234627628743999 and 234627628744017.

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, 316437621 + ... + 317178219.

It is an arithmetic number, because the mean of its divisors is an integer number (1026648899640).

Almost surely, 2^{234627628744080} is an apocalyptic number.

234627628744080 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 234627628744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492791471827200).

234627628744080 is an abundant number, since it is smaller than the sum of its proper divisors (750955314910320).

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

234627628744080 is a wasteful number, since it uses less digits than its factorization.

234627628744080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740840 (or 740831 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 234627628744080 in words is "two hundred thirty-four trillion, six hundred twenty-seven billion, six hundred twenty-eight million, seven hundred forty-four thousand, eighty".