42480507664 has 135 divisors (see below), whose sum is σ = 101942401887. Its totient is φ = 17095421952.

The previous prime is 42480507659. The next prime is 42480507679. The reversal of 42480507664 is 46670508424.

It is a happy number.

The square root of 42480507664 is 206108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 929762064 + 41550745600 = 30492^2 + 203840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98107192 + ... + 98107624.

Almost surely, 2^42480507664 is an apocalyptic number.

42480507664 is the 206108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42480507664

42480507664 is an abundant number, since it is smaller than the sum of its proper divisors (59461894223).

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

42480507664 is an equidigital number, since it uses as much as digits as its factorization.

42480507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 42480507664 in words is "forty-two billion, four hundred eighty million, five hundred seven thousand, six hundred sixty-four".