5000614213680 has 320 divisors, whose sum is σ = 17651192632320. Its totient is φ = 1300836962304.

The previous prime is 5000614213669. The next prime is 5000614213697. The reversal of 5000614213680 is 863124160005.

It is a happy number.

5000614213680 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 614 + 2 + 1 + 36 + 8 + 0 = 666.

It is a super-2 number, since 2×5000614213680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14738424 + ... + 15073896.

It is an arithmetic number, because the mean of its divisors is an integer number (55159976976).

Almost surely, 2^{5000614213680} 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 5000614213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825596316160).

5000614213680 is an abundant number, since it is smaller than the sum of its proper divisors (12650578418640).

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

5000614213680 is a wasteful number, since it uses less digits than its factorization.

5000614213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335665 (or 335653 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 5000614213680 its reverse (863124160005), we get a palindrome (5863738373685).

The spelling of 5000614213680 in words is "five trillion, six hundred fourteen million, two hundred thirteen thousand, six hundred eighty".