42606466560 has 800 divisors, whose sum is σ = 176465044800. Its totient is φ = 9624158208.

The previous prime is 42606466549. The next prime is 42606466577. The reversal of 42606466560 is 6566460624.

42606466560 is a `hidden beast` number, since 4 + 26 + 0 + 6 + 4 + 66 + 560 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216276382 + ... + 216276578.

It is an arithmetic number, because the mean of its divisors is an integer number (220581306).

Almost surely, 2^42606466560 is an apocalyptic number.

42606466560 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 42606466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88232522400).

42606466560 is an abundant number, since it is smaller than the sum of its proper divisors (133858578240).

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

42606466560 is a wasteful number, since it uses less digits than its factorization.

42606466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 42606466560 in words is "forty-two billion, six hundred six million, four hundred sixty-six thousand, five hundred sixty".