234259765978680 has 768 divisors, whose sum is σ = 903135098436480. Its totient is φ = 54100583645184.

The previous prime is 234259765978621. The next prime is 234259765978699. The reversal of 234259765978680 is 86879567952432.

234259765978680 is a `hidden beast` number, since 2 + 3 + 425 + 9 + 7 + 65 + 9 + 78 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 234259765978680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680782032 + ... + 681126048.

Almost surely, 2^{234259765978680} is an apocalyptic number.

234259765978680 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 234259765978680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451567549218240).

234259765978680 is an abundant number, since it is smaller than the sum of its proper divisors (668875332457800).

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

234259765978680 is a wasteful number, since it uses less digits than its factorization.

234259765978680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344390 (or 344374 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 234259765978680 in words is "two hundred thirty-four trillion, two hundred fifty-nine billion, seven hundred sixty-five million, nine hundred seventy-eight thousand, six hundred eighty".