42646432720 has 20 divisors (see below), whose sum is σ = 99152956260. Its totient is φ = 17058573056.

The previous prime is 42646432711. The next prime is 42646432727. The reversal of 42646432720 is 2723464624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9367916944 + 33278515776 = 96788^2 + 182424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646432727) 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, 266540125 + ... + 266540284.

It is an arithmetic number, because the mean of its divisors is an integer number (4957647813).

Almost surely, 2^42646432720 is an apocalyptic number.

42646432720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42646432720 is an abundant number, since it is smaller than the sum of its proper divisors (56506523540).

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

42646432720 is a wasteful number, since it uses less digits than its factorization.

42646432720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533080422 (or 533080416 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 42646432720 in words is "forty-two billion, six hundred forty-six million, four hundred thirty-two thousand, seven hundred twenty".