4864759776 has 96 divisors (see below), whose sum is σ = 14276344320. Its totient is φ = 1611591552.

The previous prime is 4864759759. The next prime is 4864759777. The reversal of 4864759776 is 6779574684.

4864759776 is a `hidden beast` number, since 4 + 8 + 6 + 475 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864759777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123561 + ... + 158103.

It is an arithmetic number, because the mean of its divisors is an integer number (148711920).

Almost surely, 2^4864759776 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 4864759776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138172160).

4864759776 is an abundant number, since it is smaller than the sum of its proper divisors (9411584544).

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

4864759776 is a wasteful number, since it uses less digits than its factorization.

4864759776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34725 (or 34711 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The square root of 4864759776 is about 69747.8299017253. The cubic root of 4864759776 is about 1694.4176494241.

The spelling of 4864759776 in words is "four billion, eight hundred sixty-four million, seven hundred fifty-nine thousand, seven hundred seventy-six".