4819671360 has 840 divisors, whose sum is σ = 20976509736. Its totient is φ = 1011548160.

The previous prime is 4819671359. The next prime is 4819671431. The reversal of 4819671360 is 631769184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167340096 + 4652331264 = 12936^2 + 68208^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 117552940 + ... + 117552980.

Almost surely, 2^4819671360 is an apocalyptic number.

4819671360 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 4819671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488254868).

4819671360 is an abundant number, since it is smaller than the sum of its proper divisors (16156838376).

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

4819671360 is a wasteful number, since it uses less digits than its factorization.

4819671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4819671360 is about 69423.8529613562. The cubic root of 4819671360 is about 1689.1665603267.

The spelling of 4819671360 in words is "four billion, eight hundred nineteen million, six hundred seventy-one thousand, three hundred sixty".