42626584800 has 576 divisors, whose sum is σ = 159589785600. Its totient is φ = 10973491200.

The previous prime is 42626584789. The next prime is 42626584823. The reversal of 42626584800 is 848562624.

42626584800 is a `hidden beast` number, since 4 + 2 + 62 + 6 + 584 + 8 + 0 + 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112471011 + ... + 112471389.

It is an arithmetic number, because the mean of its divisors is an integer number (277065600).

Almost surely, 2^42626584800 is an apocalyptic number.

42626584800 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 42626584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794892800).

42626584800 is an abundant number, since it is smaller than the sum of its proper divisors (116963200800).

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

42626584800 is a wasteful number, since it uses less digits than its factorization.

42626584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42626584800 in words is "forty-two billion, six hundred twenty-six million, five hundred eighty-four thousand, eight hundred".