234774080640 has 1536 divisors, whose sum is σ = 1000852070400. Its totient is φ = 51956121600.

The previous prime is 234774080539. The next prime is 234774080647. The reversal of 234774080640 is 46080477432.

234774080640 is a `hidden beast` number, since 2 + 3 + 477 + 40 + 80 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (234774080647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007613964 + ... + 1007614196.

It is an arithmetic number, because the mean of its divisors is an integer number (651596400).

Almost surely, 2^234774080640 is an apocalyptic number.

234774080640 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 234774080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500426035200).

234774080640 is an abundant number, since it is smaller than the sum of its proper divisors (766077989760).

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

234774080640 is a wasteful number, since it uses less digits than its factorization.

234774080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 234774080640 in words is "two hundred thirty-four billion, seven hundred seventy-four million, eighty thousand, six hundred forty".