4765376736 has 72 divisors (see below), whose sum is σ = 13601768544. Its totient is φ = 1582571520.

The previous prime is 4765376731. The next prime is 4765376747. The reversal of 4765376736 is 6376735674.

4765376736 is a `hidden beast` number, since 4 + 76 + 537 + 6 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765376731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47520 + ... + 108576.

It is an arithmetic number, because the mean of its divisors is an integer number (188913452).

Almost surely, 2^4765376736 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 4765376736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800884272).

4765376736 is an abundant number, since it is smaller than the sum of its proper divisors (8836391808).

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

4765376736 is a wasteful number, since it uses less digits than its factorization.

4765376736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61344 (or 61333 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The square root of 4765376736 is about 69031.7081926849. The cubic root of 4765376736 is about 1682.7996516308.

It can be divided in two parts, 4765 and 376736, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 4765376736 in words is "four billion, seven hundred sixty-five million, three hundred seventy-six thousand, seven hundred thirty-six".