4967815776 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 1240012800.

The previous prime is 4967815771. The next prime is 4967815789. The reversal of 4967815776 is 6775187694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967815771) 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 63 ways as a sum of consecutive naturals, for example, 27446406 + ... + 27446586.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4967815776 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 4967815776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4967815776 is an abundant number, since it is smaller than the sum of its proper divisors (11939489184).

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

4967815776 is a wasteful number, since it uses less digits than its factorization.

4967815776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 60.

The square root of 4967815776 is about 70482.7338856830. The cubic root of 4967815776 is about 1706.2990963237.

The spelling of 4967815776 in words is "four billion, nine hundred sixty-seven million, eight hundred fifteen thousand, seven hundred seventy-six".