5468613696 has 448 divisors, whose sum is σ = 20072908800. Its totient is φ = 1421494272.

The previous prime is 5468613679. The next prime is 5468613697. The reversal of 5468613696 is 6963168645.

5468613696 is a `hidden beast` number, since 5 + 468 + 61 + 36 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5468613697) 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, 13051375 + ... + 13051793.

It is an arithmetic number, because the mean of its divisors is an integer number (44805600).

Almost surely, 2^5468613696 is an apocalyptic number.

5468613696 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 5468613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036454400).

5468613696 is an abundant number, since it is smaller than the sum of its proper divisors (14604295104).

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

5468613696 is a wasteful number, since it uses less digits than its factorization.

5468613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 5468613696 is about 73950.0756997584. The cubic root of 5468613696 is about 1761.8100455612.

The spelling of 5468613696 in words is "five billion, four hundred sixty-eight million, six hundred thirteen thousand, six hundred ninety-six".