42646779520 has 32 divisors (see below), whose sum is σ = 101952458820. Its totient is φ = 17058711552.

The previous prime is 42646779503. The next prime is 42646779521. The reversal of 42646779520 is 2597764624.

42646779520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38481884224 + 4164895296 = 196168^2 + 64536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42646779521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33317157 + ... + 33318436.

Almost surely, 2^42646779520 is an apocalyptic number.

42646779520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42646779520 is an abundant number, since it is smaller than the sum of its proper divisors (59305679300).

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

42646779520 is an equidigital number, since it uses as much as digits as its factorization.

42646779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66635612 (or 66635600 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 42646779520 in words is "forty-two billion, six hundred forty-six million, seven hundred seventy-nine thousand, five hundred twenty".