4644743040 has 1024 divisors, whose sum is σ = 20680704000. Its totient is φ = 961486848.

The previous prime is 4644743011. The next prime is 4644743101. The reversal of 4644743040 is 403474464.

4644743040 is a `hidden beast` number, since 4 + 644 + 7 + 4 + 3 + 0 + 4 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4644742986 and 4644743004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98824297 + ... + 98824343.

It is an arithmetic number, because the mean of its divisors is an integer number (20196000).

Almost surely, 2^4644743040 is an apocalyptic number.

4644743040 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 4644743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340352000).

4644743040 is an abundant number, since it is smaller than the sum of its proper divisors (16035960960).

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

4644743040 is a wasteful number, since it uses less digits than its factorization.

4644743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4644743040 is about 68152.3516835626. The cubic root of 4644743040 is about 1668.4783059754.

The spelling of 4644743040 in words is "four billion, six hundred forty-four million, seven hundred forty-three thousand, forty".