42396775680 has 288 divisors, whose sum is σ = 157911264000. Its totient is φ = 9690390528.

The previous prime is 42396775669. The next prime is 42396775723. The reversal of 42396775680 is 8657769324.

It is a self number, because there is not a number n which added to its sum of digits gives 42396775680.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1301026 + ... + 1333214.

It is an arithmetic number, because the mean of its divisors is an integer number (548303000).

Almost surely, 2^42396775680 is an apocalyptic number.

42396775680 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 42396775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78955632000).

42396775680 is an abundant number, since it is smaller than the sum of its proper divisors (115514488320).

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

42396775680 is an equidigital number, since it uses as much as digits as its factorization.

42396775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32234 (or 32206 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 42396775680 in words is "forty-two billion, three hundred ninety-six million, seven hundred seventy-five thousand, six hundred eighty".