4971787776 has 240 divisors, whose sum is σ = 15081066000. Its totient is φ = 1634992128.

The previous prime is 4971787763. The next prime is 4971787831. The reversal of 4971787776 is 6777871794.

4971787776 is a `hidden beast` number, since 497 + 1 + 7 + 8 + 77 + 76 = 666.

It is a congruent number.

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, 11072800 + ... + 11073248.

It is an arithmetic number, because the mean of its divisors is an integer number (62837775).

Almost surely, 2^4971787776 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 4971787776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540533000).

4971787776 is an abundant number, since it is smaller than the sum of its proper divisors (10109278224).

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

4971787776 is an frugal number, since it uses more digits than its factorization.

4971787776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 543 counting only the distinct ones).

The product of its digits is 29042496, while the sum is 63.

The square root of 4971787776 is about 70510.9053693115. The cubic root of 4971787776 is about 1706.7537303675.

The spelling of 4971787776 in words is "four billion, nine hundred seventy-one million, seven hundred eighty-seven thousand, seven hundred seventy-six".