42475805568 has 256 divisors, whose sum is σ = 146323814400. Its totient is φ = 11877414912.

The previous prime is 42475805557. The next prime is 42475805573. The reversal of 42475805568 is 86550857424.

42475805568 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 5 + 80 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118346 + ... + 1155702.

It is an arithmetic number, because the mean of its divisors is an integer number (571577400).

Almost surely, 2^42475805568 is an apocalyptic number.

42475805568 is a gapful number since it is divisible by the number (48) 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 42475805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73161907200).

42475805568 is an abundant number, since it is smaller than the sum of its proper divisors (103848008832).

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

42475805568 is a wasteful number, since it uses less digits than its factorization.

42475805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37434 (or 37416 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 42475805568 in words is "forty-two billion, four hundred seventy-five million, eight hundred five thousand, five hundred sixty-eight".