4914176960 has 336 divisors, whose sum is σ = 15079260672. Its totient is φ = 1481625600.

The previous prime is 4914176951. The next prime is 4914176963. The reversal of 4914176960 is 696714194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4914176963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69213725 + ... + 69213795.

It is an arithmetic number, because the mean of its divisors is an integer number (44878752).

Almost surely, 2^4914176960 is an apocalyptic number.

4914176960 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 4914176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539630336).

4914176960 is an abundant number, since it is smaller than the sum of its proper divisors (10165083712).

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

4914176960 is a wasteful number, since it uses less digits than its factorization.

4914176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 4914176960 is about 70101.1908600703. The cubic root of 4914176960 is about 1700.1357400263.

The spelling of 4914176960 in words is "four billion, nine hundred fourteen million, one hundred seventy-six thousand, nine hundred sixty".