234820270080 has 1152 divisors, whose sum is σ = 963320117760. Its totient is φ = 54305095680.

The previous prime is 234820270067. The next prime is 234820270099. The reversal of 234820270080 is 80072028432.

234820270080 is a `hidden beast` number, since 234 + 82 + 0 + 270 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629544774 + ... + 629545146.

It is an arithmetic number, because the mean of its divisors is an integer number (836215380).

Almost surely, 2^234820270080 is an apocalyptic number.

234820270080 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 234820270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481660058880).

234820270080 is an abundant number, since it is smaller than the sum of its proper divisors (728499847680).

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

234820270080 is a wasteful number, since it uses less digits than its factorization.

234820270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 234820270080 in words is "two hundred thirty-four billion, eight hundred twenty million, two hundred seventy thousand, eighty".