4814732160 has 384 divisors, whose sum is σ = 19396728000. Its totient is φ = 1100058624.

The previous prime is 4814732141. The next prime is 4814732177. The reversal of 4814732160 is 612374184.

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 (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 47 ways as a sum of consecutive naturals, for example, 1974462 + ... + 1976898.

Almost surely, 2^4814732160 is an apocalyptic number.

4814732160 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 4814732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698364000).

4814732160 is an abundant number, since it is smaller than the sum of its proper divisors (14581995840).

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

4814732160 is a wasteful number, since it uses less digits than its factorization.

4814732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4814732160 is about 69388.2710549845. The cubic root of 4814732160 is about 1688.5893437152.

The spelling of 4814732160 in words is "four billion, eight hundred fourteen million, seven hundred thirty-two thousand, one hundred sixty".