42672353680 has 60 divisors (see below), whose sum is σ = 109052574876. Its totient is φ = 15517216000.

The previous prime is 42672353657. The next prime is 42672353723. The reversal of 42672353680 is 8635327624.

It can be written as a sum of positive squares in 2 ways, for example, as 33310630144 + 9361723536 = 182512^2 + 96756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42672353680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194471 + ... + 2213830.

Almost surely, 2^42672353680 is an apocalyptic number.

42672353680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42672353680 is an abundant number, since it is smaller than the sum of its proper divisors (66380221196).

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

42672353680 is a wasteful number, since it uses less digits than its factorization.

42672353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408336 (or 4408319 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 42672353680 in words is "forty-two billion, six hundred seventy-two million, three hundred fifty-three thousand, six hundred eighty".