4910780160 has 648 divisors, whose sum is σ = 20186642112. Its totient is φ = 1094860800.

The previous prime is 4910780159. The next prime is 4910780167. The reversal of 4910780160 is 610870194.

4910780160 is a `hidden beast` number, since 491 + 0 + 7 + 8 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4910780167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18120825 + ... + 18121095.

Almost surely, 2^4910780160 is an apocalyptic number.

4910780160 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 4910780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093321056).

4910780160 is an abundant number, since it is smaller than the sum of its proper divisors (15275861952).

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

4910780160 is a wasteful number, since it uses less digits than its factorization.

4910780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4910780160 is about 70076.9588381231. The cubic root of 4910780160 is about 1699.7439245197.

The spelling of 4910780160 in words is "four billion, nine hundred ten million, seven hundred eighty thousand, one hundred sixty".