4819772160 has 720 divisors, whose sum is σ = 20478427200. Its totient is φ = 1059028992.

The previous prime is 4819772159. The next prime is 4819772173. The reversal of 4819772160 is 612779184.

It is a happy number.

4819772160 is a `hidden beast` number, since 481 + 9 + 7 + 7 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4819772160² = 46460407348622131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046926 + ... + 21047154.

It is an arithmetic number, because the mean of its divisors is an integer number (28442260).

Almost surely, 2^4819772160 is an apocalyptic number.

4819772160 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 4819772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239213600).

4819772160 is an abundant number, since it is smaller than the sum of its proper divisors (15658655040).

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

4819772160 is a wasteful number, since it uses less digits than its factorization.

4819772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4819772160 is about 69424.5789328246. The cubic root of 4819772160 is about 1689.1783361505.

The spelling of 4819772160 in words is "four billion, eight hundred nineteen million, seven hundred seventy-two thousand, one hundred sixty".