42801768360 has 256 divisors, whose sum is σ = 162686361600. Its totient is φ = 9916010496.

The previous prime is 42801768283. The next prime is 42801768367. The reversal of 42801768360 is 6386710824.

42801768360 is a `hidden beast` number, since 4 + 280 + 1 + 7 + 6 + 8 + 360 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42801768367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149017 + ... + 328343.

It is an arithmetic number, because the mean of its divisors is an integer number (635493600).

Almost surely, 2^42801768360 is an apocalyptic number.

42801768360 is a gapful number since it is divisible by the number (40) 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 42801768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81343180800).

42801768360 is an abundant number, since it is smaller than the sum of its proper divisors (119884593240).

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

42801768360 is a wasteful number, since it uses less digits than its factorization.

42801768360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179377 (or 179367 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42801768360 in words is "forty-two billion, eight hundred one million, seven hundred sixty-eight thousand, three hundred sixty".