234769616640 has 864 divisors, whose sum is σ = 918889520640. Its totient is φ = 54942105600.

The previous prime is 234769616603. The next prime is 234769616659. The reversal of 234769616640 is 46616967432.

It is a happy number.

234769616640 is a `hidden beast` number, since 2 + 3 + 476 + 9 + 6 + 166 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283195746 + ... + 283196574.

Almost surely, 2^234769616640 is an apocalyptic number.

234769616640 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 234769616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459444760320).

234769616640 is an abundant number, since it is smaller than the sum of its proper divisors (684119904000).

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

234769616640 is a wasteful number, since it uses less digits than its factorization.

234769616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 234769616640 in words is "two hundred thirty-four billion, seven hundred sixty-nine million, six hundred sixteen thousand, six hundred forty".