42268263660 has 288 divisors, whose sum is σ = 151608772224. Its totient is φ = 9331200000.

The previous prime is 42268263659. The next prime is 42268263799. The reversal of 42268263660 is 6636286224.

42268263660 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 8 + 2 + 636 + 6 + 0 = 666.

42268263660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42268263660² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5213610 + ... + 5221710.

It is an arithmetic number, because the mean of its divisors is an integer number (526419348).

Almost surely, 2^42268263660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42268263660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75804386112).

42268263660 is an abundant number, since it is smaller than the sum of its proper divisors (109340508564).

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

42268263660 is a wasteful number, since it uses less digits than its factorization.

42268263660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 42268263660 in words is "forty-two billion, two hundred sixty-eight million, two hundred sixty-three thousand, six hundred sixty".