4976770176 has 192 divisors, whose sum is σ = 17079304320. Its totient is φ = 1360060416.

The previous prime is 4976770157. The next prime is 4976770219. The reversal of 4976770176 is 6710776794.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172056 + ... + 198888.

It is an arithmetic number, because the mean of its divisors is an integer number (88954710).

Almost surely, 2^4976770176 is an apocalyptic number.

4976770176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976770176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539652160).

4976770176 is an abundant number, since it is smaller than the sum of its proper divisors (12102534144).

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

4976770176 is a wasteful number, since it uses less digits than its factorization.

4976770176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26883 (or 26868 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 4976770176 is about 70546.2272272586. The cubic root of 4976770176 is about 1707.3236722826.

The spelling of 4976770176 in words is "four billion, nine hundred seventy-six million, seven hundred seventy thousand, one hundred seventy-six".