4971427776 has 672 divisors, whose sum is σ = 18572561280. Its totient is φ = 1238630400.

The previous prime is 4971427723. The next prime is 4971427777. The reversal of 4971427776 is 6777241794.

4971427776 is a `hidden beast` number, since 497 + 14 + 2 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971427777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81498786 + ... + 81498846.

It is an arithmetic number, because the mean of its divisors is an integer number (27637740).

Almost surely, 2^4971427776 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 4971427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286280640).

4971427776 is an abundant number, since it is smaller than the sum of its proper divisors (13601133504).

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

4971427776 is a wasteful number, since it uses less digits than its factorization.

4971427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 4971427776 is about 70508.3525264915. The cubic root of 4971427776 is about 1706.7125348458.

The spelling of 4971427776 in words is "four billion, nine hundred seventy-one million, four hundred twenty-seven thousand, seven hundred seventy-six".