4268106000 has 160 divisors (see below), whose sum is σ = 15289497600. Its totient is φ = 1138147200.

The previous prime is 4268105981. The next prime is 4268106019. The reversal of 4268106000 is 6018624.

4268106000 is a `hidden beast` number, since 42 + 6 + 8 + 10 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4268105981) and next prime (4268106019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

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, 14481 + ... + 93519.

It is an arithmetic number, because the mean of its divisors is an integer number (95559360).

Almost surely, 2^4268106000 is an apocalyptic number.

4268106000 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 4268106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644748800).

4268106000 is an abundant number, since it is smaller than the sum of its proper divisors (11021391600).

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

4268106000 is a wasteful number, since it uses less digits than its factorization.

4268106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79071 (or 79049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4268106000 is about 65330.7431459340. The cubic root of 4268106000 is about 1622.1028932332.

The spelling of 4268106000 in words is "four billion, two hundred sixty-eight million, one hundred six thousand".