4963790160 has 540 divisors, whose sum is σ = 20240850708. Its totient is φ = 1128701952.

The previous prime is 4963790123. The next prime is 4963790177. The reversal of 4963790160 is 610973694.

4963790160 is a `hidden beast` number, since 4 + 9 + 637 + 9 + 0 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1486565136 + 3477225024 = 38556^2 + 58968^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 107 ways as a sum of consecutive naturals, for example, 25719024 + ... + 25719216.

Almost surely, 2^4963790160 is an apocalyptic number.

4963790160 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 4963790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120425354).

4963790160 is an abundant number, since it is smaller than the sum of its proper divisors (15277060548).

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

4963790160 is an equidigital number, since it uses as much as digits as its factorization.

4963790160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4963790160 is about 70454.1706359531. The cubic root of 4963790160 is about 1705.8380780768.

The spelling of 4963790160 in words is "four billion, nine hundred sixty-three million, seven hundred ninety thousand, one hundred sixty".