427350000168 has 1152 divisors, whose sum is σ = 1654610630400. Its totient is φ = 100131987456.

The previous prime is 427350000157. The next prime is 427350000191. The reversal of 427350000168 is 861000053724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 427350000168 = 732³ + 7530³ = 5706³ + 6228³.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1542779646 + ... + 1542779922.

It is an arithmetic number, because the mean of its divisors is an integer number (1436293950).

Almost surely, 2^427350000168 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 427350000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827305315200).

427350000168 is an abundant number, since it is smaller than the sum of its proper divisors (1227260630232).

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

427350000168 is a wasteful number, since it uses less digits than its factorization.

427350000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 427350000168 in words is "four hundred twenty-seven billion, three hundred fifty million, one hundred sixty-eight", and thus it is an aban number.