5016827340 has 576 divisors, whose sum is σ = 19161612288. Its totient is φ = 1077753600.

The previous prime is 5016827327. The next prime is 5016827341. The reversal of 5016827340 is 437286105.

5016827340 is a `hidden beast` number, since 501 + 6 + 82 + 73 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5016827295 and 5016827304.

It is not an unprimeable number, because it can be changed into a prime (5016827341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70659505 + ... + 70659575.

It is an arithmetic number, because the mean of its divisors is an integer number (33266688).

Almost surely, 2^5016827340 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 5016827340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580806144).

5016827340 is an abundant number, since it is smaller than the sum of its proper divisors (14144784948).

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

5016827340 is a wasteful number, since it uses less digits than its factorization.

5016827340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5016827340 is about 70829.5654370405. The cubic root of 5016827340 is about 1711.8920884867.

The spelling of 5016827340 in words is "five billion, sixteen million, eight hundred twenty-seven thousand, three hundred forty".