4963870080 has 512 divisors, whose sum is σ = 19946304000. Its totient is φ = 1156571136.

The previous prime is 4963870049. The next prime is 4963870139. The reversal of 4963870080 is 800783694.

It is a happy number.

4963870080 is a `hidden beast` number, since 4 + 9 + 638 + 7 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×4963870080² = 49280012342238412800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4267579 + ... + 4268741.

It is an arithmetic number, because the mean of its divisors is an integer number (38957625).

Almost surely, 2^4963870080 is an apocalyptic number.

4963870080 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 4963870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973152000).

4963870080 is an abundant number, since it is smaller than the sum of its proper divisors (14982433920).

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

4963870080 is a wasteful number, since it uses less digits than its factorization.

4963870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4963870080 is about 70454.7378108811. The cubic root of 4963870080 is about 1705.8472330332.

The spelling of 4963870080 in words is "four billion, nine hundred sixty-three million, eight hundred seventy thousand, eighty".