234774096480 has 1152 divisors, whose sum is σ = 1028130195456. Its totient is φ = 47377612800.

The previous prime is 234774096457. The next prime is 234774096589. The reversal of 234774096480 is 84690477432.

234774096480 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 74 + 0 + 96 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 696658872 + ... + 696659208.

It is an arithmetic number, because the mean of its divisors is an integer number (892474128).

Almost surely, 2^234774096480 is an apocalyptic number.

234774096480 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 234774096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514065097728).

234774096480 is an abundant number, since it is smaller than the sum of its proper divisors (793356098976).

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

234774096480 is a wasteful number, since it uses less digits than its factorization.

234774096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 234774096480 in words is "two hundred thirty-four billion, seven hundred seventy-four million, ninety-six thousand, four hundred eighty".