233192380680 has 640 divisors, whose sum is σ = 937843315200. Its totient is φ = 50812489728.

The previous prime is 233192380669. The next prime is 233192380699. The reversal of 233192380680 is 86083291332.

233192380680 is a `hidden beast` number, since 2 + 3 + 3 + 192 + 380 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 213350214 + ... + 213351306.

It is an arithmetic number, because the mean of its divisors is an integer number (1465380180).

Almost surely, 2^233192380680 is an apocalyptic number.

233192380680 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 233192380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468921657600).

233192380680 is an abundant number, since it is smaller than the sum of its proper divisors (704650934520).

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

233192380680 is a wasteful number, since it uses less digits than its factorization.

233192380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 233192380680 in words is "two hundred thirty-three billion, one hundred ninety-two million, three hundred eighty thousand, six hundred eighty".