5716634917680 has 480 divisors, whose sum is σ = 19479253248000. Its totient is φ = 1502361649152.

The previous prime is 5716634917649. The next prime is 5716634917687. The reversal of 5716634917680 is 867194366175.

5716634917680 is a `hidden beast` number, since 5 + 7 + 1 + 6 + 63 + 491 + 7 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (5716634917687) 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, 12731926096 + ... + 12731926544.

It is an arithmetic number, because the mean of its divisors is an integer number (40581777600).

Almost surely, 2^{5716634917680} 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 5716634917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739626624000).

5716634917680 is an abundant number, since it is smaller than the sum of its proper divisors (13762618330320).

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

5716634917680 is a wasteful number, since it uses less digits than its factorization.

5716634917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5716634917680 in words is "five trillion, seven hundred sixteen billion, six hundred thirty-four million, nine hundred seventeen thousand, six hundred eighty".