5067827688 has 256 divisors, whose sum is σ = 16144128000. Its totient is φ = 1287705600.

The previous prime is 5067827663. The next prime is 5067827689. The reversal of 5067827688 is 8867287605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5067827689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27998958 + ... + 27999138.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 2^5067827688 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 5067827688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064000).

5067827688 is an abundant number, since it is smaller than the sum of its proper divisors (11076300312).

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

5067827688 is a wasteful number, since it uses less digits than its factorization.

5067827688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The square root of 5067827688 is about 71188.6766838660. The cubic root of 5067827688 is about 1717.6734914548.

The spelling of 5067827688 in words is "five billion, sixty-seven million, eight hundred twenty-seven thousand, six hundred eighty-eight".