5681678016 has 336 divisors, whose sum is σ = 18305263872. Its totient is φ = 1522759680.

The previous prime is 5681678011. The next prime is 5681678029. The reversal of 5681678016 is 6108761865.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5681678011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68453911 + ... + 68453993.

It is an arithmetic number, because the mean of its divisors is an integer number (54479952).

Almost surely, 2^5681678016 is an apocalyptic number.

5681678016 is a gapful number since it is divisible by the number (56) 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 5681678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152631936).

5681678016 is an abundant number, since it is smaller than the sum of its proper divisors (12623585856).

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

5681678016 is a wasteful number, since it uses less digits than its factorization.

5681678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 5681678016 is about 75376.9063838521. The cubic root of 5681678016 is about 1784.3999652873.

The spelling of 5681678016 in words is "five billion, six hundred eighty-one million, six hundred seventy-eight thousand, sixteen".