4964967072 has 288 divisors, whose sum is σ = 15692092416. Its totient is φ = 1479628800.

The previous prime is 4964967053. The next prime is 4964967089. The reversal of 4964967072 is 2707694694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25994497 + ... + 25994687.

It is an arithmetic number, because the mean of its divisors is an integer number (54486432).

Almost surely, 2^4964967072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846046208).

4964967072 is an abundant number, since it is smaller than the sum of its proper divisors (10727125344).

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

4964967072 is a wasteful number, since it uses less digits than its factorization.

4964967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 4964967072 is about 70462.5224640731. The cubic root of 4964967072 is about 1705.9728851894.

The spelling of 4964967072 in words is "four billion, nine hundred sixty-four million, nine hundred sixty-seven thousand, seventy-two".