5464728622080 has 1188 divisors, whose sum is σ = 23852947930812. Its totient is φ = 1152917176320.

The previous prime is 5464728622051. The next prime is 5464728622103. The reversal of 5464728622080 is 802268274645.

5464728622080 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 7 + 2 + 8 + 622 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2817885966336 + 2646842655744 = 1678656^2 + 1626912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381581320 + ... + 381595640.

It is an arithmetic number, because the mean of its divisors is an integer number (20078238999).

Almost surely, 2^{5464728622080} 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 5464728622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926473965406).

5464728622080 is an abundant number, since it is smaller than the sum of its proper divisors (18388219308732).

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

5464728622080 is a wasteful number, since it uses less digits than its factorization.

5464728622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14392 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 5464728622080 in words is "five trillion, four hundred sixty-four billion, seven hundred twenty-eight million, six hundred twenty-two thousand, eighty".