4807763136 has 336 divisors, whose sum is σ = 15576986880. Its totient is φ = 1405347840.

The previous prime is 4807763113. The next prime is 4807763161. The reversal of 4807763136 is 6313677084.

4807763136 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 7 + 631 + 3 + 6 = 666.

It is a super-3 number, since 3×4807763136³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4807763091 and 4807763100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34588155 + ... + 34588293.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080).

Almost surely, 2^4807763136 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 4807763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788493440).

4807763136 is an abundant number, since it is smaller than the sum of its proper divisors (10769223744).

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

4807763136 is a wasteful number, since it uses less digits than its factorization.

4807763136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4807763136 is about 69338.0352764628. The cubic root of 4807763136 is about 1687.7742411252.

The spelling of 4807763136 in words is "four billion, eight hundred seven million, seven hundred sixty-three thousand, one hundred thirty-six".