4906107360 has 960 divisors, whose sum is σ = 22361391360. Its totient is φ = 995742720.

The previous prime is 4906107347. The next prime is 4906107377. The reversal of 4906107360 is 637016094.

4906107360 is a `hidden beast` number, since 4 + 9 + 0 + 610 + 7 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114095499 + ... + 114095541.

It is an arithmetic number, because the mean of its divisors is an integer number (23293116).

Almost surely, 2^4906107360 is an apocalyptic number.

4906107360 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 4906107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180695680).

4906107360 is an abundant number, since it is smaller than the sum of its proper divisors (17455284000).

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

4906107360 is a wasteful number, since it uses less digits than its factorization.

4906107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4906107360 is about 70043.6104152263. The cubic root of 4906107360 is about 1699.2046290850.

The spelling of 4906107360 in words is "four billion, nine hundred six million, one hundred seven thousand, three hundred sixty".