234000025768080 has 960 divisors, whose sum is σ = 954462620482560. Its totient is φ = 52342794915840.

The previous prime is 234000025768079. The next prime is 234000025768097. The reversal of 234000025768080 is 80867520000432.

234000025768080 is a `hidden beast` number, since 2 + 3 + 400 + 0 + 0 + 25 + 76 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9503298649 + ... + 9503323271.

It is an arithmetic number, because the mean of its divisors is an integer number (994231896336).

Almost surely, 2^{234000025768080} is an apocalyptic number.

234000025768080 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 234000025768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477231310241280).

234000025768080 is an abundant number, since it is smaller than the sum of its proper divisors (720462594714480).

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

234000025768080 is a wasteful number, since it uses less digits than its factorization.

234000025768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27477 (or 27454 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 234000025768080 in words is "two hundred thirty-four trillion, twenty-five million, seven hundred sixty-eight thousand, eighty".