4680918072 has 160 divisors (see below), whose sum is σ = 13636022400. Its totient is φ = 1498404096.

The previous prime is 4680918061. The next prime is 4680918079. The reversal of 4680918072 is 2708190864.

4680918072 is a `hidden beast` number, since 468 + 0 + 9 + 180 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680918079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4190058 + ... + 4191174.

It is an arithmetic number, because the mean of its divisors is an integer number (85225140).

Almost surely, 2^4680918072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680918072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818011200).

4680918072 is an abundant number, since it is smaller than the sum of its proper divisors (8955104328).

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

4680918072 is a wasteful number, since it uses less digits than its factorization.

4680918072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4680918072 is about 68417.2351969882. The cubic root of 4680918072 is about 1672.7986910483.

The spelling of 4680918072 in words is "four billion, six hundred eighty million, nine hundred eighteen thousand, seventy-two".