4712771911680 has 1280 divisors, whose sum is σ = 19545972082560. Its totient is φ = 1064061370368.

The previous prime is 4712771911637. The next prime is 4712771911681. The reversal of 4712771911680 is 861191772174.

4712771911680 is a `hidden beast` number, since 471 + 2 + 7 + 7 + 1 + 9 + 1 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712771911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9011035899 + ... + 9011036421.

Almost surely, 2^{4712771911680} is an apocalyptic number.

4712771911680 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 4712771911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9772986041280).

4712771911680 is an abundant number, since it is smaller than the sum of its proper divisors (14833200170880).

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

4712771911680 is an frugal number, since it uses more digits than its factorization.

4712771911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 4712771911680 in words is "four trillion, seven hundred twelve billion, seven hundred seventy-one million, nine hundred eleven thousand, six hundred eighty".