42806484720 has 600 divisors, whose sum is σ = 162577942560. Its totient is φ = 10424816640.

The previous prime is 42806484709. The next prime is 42806484727. The reversal of 42806484720 is 2748460824.

42806484720 is a `hidden beast` number, since 42 + 80 + 64 + 8 + 472 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42806484727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67838805 + ... + 67839435.

Almost surely, 2^42806484720 is an apocalyptic number.

42806484720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42806484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81288971280).

42806484720 is an abundant number, since it is smaller than the sum of its proper divisors (119771457840).

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

42806484720 is a wasteful number, since it uses less digits than its factorization.

42806484720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42806484720 in words is "forty-two billion, eight hundred six million, four hundred eighty-four thousand, seven hundred twenty".