4765514959296 has 672 divisors, whose sum is σ = 17468219478528. Its totient is φ = 1254396948480.

The previous prime is 4765514959259. The next prime is 4765514959343. The reversal of 4765514959296 is 6929594155674.

4765514959296 is a `hidden beast` number, since 4 + 7 + 6 + 551 + 49 + 5 + 9 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796772626 + ... + 796778606.

It is an arithmetic number, because the mean of its divisors is an integer number (25994374224).

Almost surely, 2^{4765514959296} 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 4765514959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734109739264).

4765514959296 is an abundant number, since it is smaller than the sum of its proper divisors (12702704519232).

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

4765514959296 is a wasteful number, since it uses less digits than its factorization.

4765514959296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6569 counting only the distinct ones).

The product of its digits is 734832000, while the sum is 72.

The spelling of 4765514959296 in words is "four trillion, seven hundred sixty-five billion, five hundred fourteen million, nine hundred fifty-nine thousand, two hundred ninety-six".