4634673120 has 384 divisors, whose sum is σ = 20225479680. Its totient is φ = 962979840.

The previous prime is 4634673107. The next prime is 4634673163. The reversal of 4634673120 is 213764364.

It is a happy number.

4634673120 is a `hidden beast` number, since 4 + 634 + 6 + 7 + 3 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325674 + ... + 339606.

It is an arithmetic number, because the mean of its divisors is an integer number (52670520).

Almost surely, 2^4634673120 is an apocalyptic number.

4634673120 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 4634673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112739840).

4634673120 is an abundant number, since it is smaller than the sum of its proper divisors (15590806560).

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

4634673120 is a wasteful number, since it uses less digits than its factorization.

4634673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4634673120 is about 68078.4335895003. The cubic root of 4634673120 is about 1667.2716658701.

The spelling of 4634673120 in words is "four billion, six hundred thirty-four million, six hundred seventy-three thousand, one hundred twenty".