4634784000 has 1296 divisors, whose sum is σ = 22052634240. Its totient is φ = 912384000.

The previous prime is 4634783963. The next prime is 4634784023. The reversal of 4634784000 is 4874364.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243935991 + ... + 243936009.

Almost surely, 2^4634784000 is an apocalyptic number.

4634784000 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 4634784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026317120).

4634784000 is an abundant number, since it is smaller than the sum of its proper divisors (17417850240).

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

4634784000 is a wasteful number, since it uses less digits than its factorization.

4634784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4634784000 is about 68079.2479394419. The cubic root of 4634784000 is about 1667.2849617095.

The spelling of 4634784000 in words is "four billion, six hundred thirty-four million, seven hundred eighty-four thousand".