42768362340 has 576 divisors, whose sum is σ = 156533126400. Its totient is φ = 9653022720.

The previous prime is 42768362327. The next prime is 42768362363. The reversal of 42768362340 is 4326386724.

42768362340 is a `hidden beast` number, since 4 + 276 + 8 + 36 + 2 + 340 = 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154398282 + ... + 154398558.

It is an arithmetic number, because the mean of its divisors is an integer number (271758900).

Almost surely, 2^42768362340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42768362340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78266563200).

42768362340 is an abundant number, since it is smaller than the sum of its proper divisors (113764764060).

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

42768362340 is a wasteful number, since it uses less digits than its factorization.

42768362340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 42768362340 in words is "forty-two billion, seven hundred sixty-eight million, three hundred sixty-two thousand, three hundred forty".