4638291840 has 384 divisors, whose sum is σ = 19714968000. Its totient is φ = 978518016.

The previous prime is 4638291821. The next prime is 4638291851. The reversal of 4638291840 is 481928364.

It is a happy number.

4638291840 is a `hidden beast` number, since 4 + 638 + 2 + 9 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519736 + ... + 528584.

Almost surely, 2^4638291840 is an apocalyptic number.

4638291840 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 4638291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857484000).

4638291840 is an abundant number, since it is smaller than the sum of its proper divisors (15076676160).

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

4638291840 is a wasteful number, since it uses less digits than its factorization.

4638291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4638291840 is about 68105.0059834077. The cubic root of 4638291840 is about 1667.7054842914.

The spelling of 4638291840 in words is "four billion, six hundred thirty-eight million, two hundred ninety-one thousand, eight hundred forty".