234400180704 has 96 divisors (see below), whose sum is σ = 649301909760. Its totient is φ = 73836288000.

The previous prime is 234400180661. The next prime is 234400180727. The reversal of 234400180704 is 407081004432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571189 + ... + 891659.

It is an arithmetic number, because the mean of its divisors is an integer number (6763561560).

Almost surely, 2^234400180704 is an apocalyptic number.

234400180704 is a gapful number since it is divisible by the number (24) 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 234400180704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324650954880).

234400180704 is an abundant number, since it is smaller than the sum of its proper divisors (414901729056).

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

234400180704 is a wasteful number, since it uses less digits than its factorization.

234400180704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320904 (or 320896 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 234400180704 in words is "two hundred thirty-four billion, four hundred million, one hundred eighty thousand, seven hundred four".