42648187680 has 576 divisors, whose sum is σ = 169912753920. Its totient is φ = 9540698112.

The previous prime is 42648187663. The next prime is 42648187697. The reversal of 42648187680 is 8678184624.

42648187680 is a `hidden beast` number, since 4 + 2 + 6 + 481 + 87 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42648187663) and next prime (42648187697).

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 95 ways as a sum of consecutive naturals, for example, 122905267 + ... + 122905613.

It is an arithmetic number, because the mean of its divisors is an integer number (294987420).

Almost surely, 2^42648187680 is an apocalyptic number.

42648187680 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 42648187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84956376960).

42648187680 is an abundant number, since it is smaller than the sum of its proper divisors (127264566240).

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

42648187680 is a wasteful number, since it uses less digits than its factorization.

42648187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42648187680 in words is "forty-two billion, six hundred forty-eight million, one hundred eighty-seven thousand, six hundred eighty".