4760646336 has 84 divisors (see below), whose sum is σ = 13680225624. Its totient is φ = 1582848000.

The previous prime is 4760646311. The next prime is 4760646343. The reversal of 4760646336 is 6336460674.

4760646336 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 6 + 4 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4760646291 and 4760646300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220671 + ... + 241281.

Almost surely, 2^4760646336 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 4760646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840112812).

4760646336 is an abundant number, since it is smaller than the sum of its proper divisors (8919579288).

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

4760646336 is a wasteful number, since it uses less digits than its factorization.

4760646336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21030 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The square root of 4760646336 is about 68997.4371697964. The cubic root of 4760646336 is about 1682.2426511857.

The spelling of 4760646336 in words is "four billion, seven hundred sixty million, six hundred forty-six thousand, three hundred thirty-six".