4633251840 has 936 divisors, whose sum is σ = 20393624160. Its totient is φ = 1003290624.

The previous prime is 4633251839. The next prime is 4633251907. The reversal of 4633251840 is 481523364.

4633251840 is a `hidden beast` number, since 4 + 633 + 2 + 5 + 18 + 4 + 0 = 666.

It is a super-2 number, since 2×4633251840² = 42934045225726771200, which contains 22 as substring.

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 = 4633251795 and 4633251804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855351 + ... + 243855369.

It is an arithmetic number, because the mean of its divisors is an integer number (21788060).

Almost surely, 2^4633251840 is an apocalyptic number.

4633251840 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 4633251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196812080).

4633251840 is an abundant number, since it is smaller than the sum of its proper divisors (15760372320).

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

4633251840 is an equidigital number, since it uses as much as digits as its factorization.

4633251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4633251840 is about 68067.9942410528. The cubic root of 4633251840 is about 1667.1012186000.

The spelling of 4633251840 in words is "four billion, six hundred thirty-three million, two hundred fifty-one thousand, eight hundred forty".