233740961280 has 640 divisors, whose sum is σ = 852335447040. Its totient is φ = 61457522688.

The previous prime is 233740961273. The next prime is 233740961297. The reversal of 233740961280 is 82169047332.

233740961280 is a `hidden beast` number, since 23 + 3 + 7 + 4 + 0 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464693509 + ... + 464694011.

It is an arithmetic number, because the mean of its divisors is an integer number (1331774136).

Almost surely, 2^233740961280 is an apocalyptic number.

233740961280 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 233740961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426167723520).

233740961280 is an abundant number, since it is smaller than the sum of its proper divisors (618594485760).

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

233740961280 is an frugal number, since it uses more digits than its factorization.

233740961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 233740961280 in words is "two hundred thirty-three billion, seven hundred forty million, nine hundred sixty-one thousand, two hundred eighty".