4264280640 has 672 divisors, whose sum is σ = 16508943360. Its totient is φ = 1045094400.

The previous prime is 4264280591. The next prime is 4264280689. The reversal of 4264280640 is 460824624.

It is a happy number.

4264280640 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 2 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4264280591) and next prime (4264280689).

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

It is a junction number, because it is equal to n+sod(n) for n = 4264280595 and 4264280604.

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, 69906210 + ... + 69906270.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 2^4264280640 is an apocalyptic number.

4264280640 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 4264280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

4264280640 is an abundant number, since it is smaller than the sum of its proper divisors (12244662720).

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

4264280640 is a wasteful number, since it uses less digits than its factorization.

4264280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4264280640 is about 65301.4597080341. The cubic root of 4264280640 is about 1621.6181362736.

The spelling of 4264280640 in words is "four billion, two hundred sixty-four million, two hundred eighty thousand, six hundred forty".