4964674176 has 384 divisors, whose sum is σ = 18026386560. Its totient is φ = 1274019840.

The previous prime is 4964674163. The next prime is 4964674181. The reversal of 4964674176 is 6714764694.

4964674176 is a `hidden beast` number, since 4 + 9 + 6 + 467 + 4 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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, 8604000 + ... + 8604576.

It is an arithmetic number, because the mean of its divisors is an integer number (46943715).

Almost surely, 2^4964674176 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 4964674176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013193280).

4964674176 is an abundant number, since it is smaller than the sum of its proper divisors (13061712384).

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

4964674176 is a wasteful number, since it uses less digits than its factorization.

4964674176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4964674176 is about 70460.4440519644. Note that the first 3 decimals coincide. The cubic root of 4964674176 is about 1705.9393379739.

The spelling of 4964674176 in words is "four billion, nine hundred sixty-four million, six hundred seventy-four thousand, one hundred seventy-six".