4680801216 has 672 divisors, whose sum is σ = 18165754880. Its totient is φ = 1150599168.

The previous prime is 4680801211. The next prime is 4680801227. The reversal of 4680801216 is 6121080864.

It is a tau number, because it is divible by the number of its divisors (672).

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 zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680801211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45444621 + ... + 45444723.

Almost surely, 2^4680801216 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 4680801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082877440).

4680801216 is an abundant number, since it is smaller than the sum of its proper divisors (13484953664).

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

4680801216 is a wasteful number, since it uses less digits than its factorization.

4680801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4680801216 is about 68416.3811963188. The cubic root of 4680801216 is about 1672.7847708310.

The spelling of 4680801216 in words is "four billion, six hundred eighty million, eight hundred one thousand, two hundred sixteen".