4771567316880 has 3200 divisors, whose sum is σ = 22214178201600. Its totient is φ = 922047971328.

The previous prime is 4771567316869. The next prime is 4771567316911. The reversal of 4771567316880 is 886137651774.

4771567316880 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 567 + 3 + 1 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 53613115876 + ... + 53613115964.

It is an arithmetic number, because the mean of its divisors is an integer number (6941930688).

Almost surely, 2^{4771567316880} is an apocalyptic number.

4771567316880 is a gapful number since it is divisible by the number (40) 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 4771567316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107089100800).

4771567316880 is an abundant number, since it is smaller than the sum of its proper divisors (17442610884720).

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

4771567316880 is a wasteful number, since it uses less digits than its factorization.

4771567316880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 4771567316880 in words is "four trillion, seven hundred seventy-one billion, five hundred sixty-seven million, three hundred sixteen thousand, eight hundred eighty".