230262197760 has 960 divisors, whose sum is σ = 967333086720. Its totient is φ = 49447895040.

The previous prime is 230262197731. The next prime is 230262197783. The reversal of 230262197760 is 67791262032.

230262197760 is a `hidden beast` number, since 2 + 302 + 6 + 219 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 499483930 + ... + 499484390.

It is an arithmetic number, because the mean of its divisors is an integer number (1007638632).

Almost surely, 2^230262197760 is an apocalyptic number.

230262197760 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 230262197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483666543360).

230262197760 is an abundant number, since it is smaller than the sum of its proper divisors (737070888960).

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

230262197760 is a wasteful number, since it uses less digits than its factorization.

230262197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 230262197760 in words is "two hundred thirty billion, two hundred sixty-two million, one hundred ninety-seven thousand, seven hundred sixty".