4268398680 has 640 divisors, whose sum is σ = 18265927680. Its totient is φ = 869667840.

The previous prime is 4268398663. The next prime is 4268398703. The reversal of 4268398680 is 868938624.

It is a super-3 number, since 3×4268398680³ (a number of 30 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9139807 + ... + 9140273.

It is an arithmetic number, because the mean of its divisors is an integer number (28540512).

Almost surely, 2^4268398680 is an apocalyptic number.

4268398680 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 4268398680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132963840).

4268398680 is an abundant number, since it is smaller than the sum of its proper divisors (13997529000).

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

4268398680 is a wasteful number, since it uses less digits than its factorization.

4268398680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4268398680 is about 65332.9830942993. The cubic root of 4268398680 is about 1622.1399702741.

The spelling of 4268398680 in words is "four billion, two hundred sixty-eight million, three hundred ninety-eight thousand, six hundred eighty".