5468706432 has 288 divisors, whose sum is σ = 18435537120. Its totient is φ = 1524261888.

The previous prime is 5468706409. The next prime is 5468706437. The reversal of 5468706432 is 2346078645.

5468706432 is a `hidden beast` number, since 546 + 8 + 70 + 6 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5468706437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17813223 + ... + 17813529.

Almost surely, 2^5468706432 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 5468706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217768560).

5468706432 is an abundant number, since it is smaller than the sum of its proper divisors (12966830688).

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

5468706432 is a wasteful number, since it uses less digits than its factorization.

5468706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5468706432 is about 73950.7027147139. The cubic root of 5468706432 is about 1761.8200043492.

The spelling of 5468706432 in words is "five billion, four hundred sixty-eight million, seven hundred six thousand, four hundred thirty-two".