4267831680 has 640 divisors, whose sum is σ = 18364896000. Its totient is φ = 922669056.

The previous prime is 4267831649. The next prime is 4267831703. The reversal of 4267831680 is 861387624.

4267831680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 2.

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, 6894411 + ... + 6895029.

It is an arithmetic number, because the mean of its divisors is an integer number (28695150).

Almost surely, 2^4267831680 is an apocalyptic number.

4267831680 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 4267831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182448000).

4267831680 is an abundant number, since it is smaller than the sum of its proper divisors (14097064320).

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

4267831680 is a wasteful number, since it uses less digits than its factorization.

4267831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4267831680 is about 65328.6436412084. The cubic root of 4267831680 is about 1622.0681405193.

The spelling of 4267831680 in words is "four billion, two hundred sixty-seven million, eight hundred thirty-one thousand, six hundred eighty".