4762907136 has 320 divisors, whose sum is σ = 16086470400. Its totient is φ = 1378418688.

The previous prime is 4762907117. The next prime is 4762907159. The reversal of 4762907136 is 6317092674.

4762907136 is a `hidden beast` number, since 4 + 7 + 629 + 0 + 7 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4762907091 and 4762907100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054325 + ... + 3055883.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^4762907136 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 4762907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

4762907136 is an abundant number, since it is smaller than the sum of its proper divisors (11323563264).

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

4762907136 is a wasteful number, since it uses less digits than its factorization.

4762907136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4762907136 is about 69013.8184423960. The cubic root of 4762907136 is about 1682.5089044096.

The spelling of 4762907136 in words is "four billion, seven hundred sixty-two million, nine hundred seven thousand, one hundred thirty-six".