42642792720 has 120 divisors (see below), whose sum is σ = 156227715072. Its totient is φ = 10337644800.

The previous prime is 42642792719. The next prime is 42642792727. The reversal of 42642792720 is 2729724624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42642792727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2684176 + ... + 2700015.

Almost surely, 2^42642792720 is an apocalyptic number.

42642792720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42642792720 is an abundant number, since it is smaller than the sum of its proper divisors (113584922352).

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

42642792720 is a wasteful number, since it uses less digits than its factorization.

42642792720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384221 (or 5384212 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 42642792720 in words is "forty-two billion, six hundred forty-two million, seven hundred ninety-two thousand, seven hundred twenty".