5464894281600 has 768 divisors, whose sum is σ = 20925235699200. Its totient is φ = 1242329088000.

The previous prime is 5464894281569. The next prime is 5464894281601. The reversal of 5464894281600 is 61824984645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464894281601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83208775 + ... + 83274425.

It is an arithmetic number, because the mean of its divisors is an integer number (27246400650).

Almost surely, 2^{5464894281600} is an apocalyptic number.

5464894281600 is a gapful number since it is divisible by the number (50) 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 5464894281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10462617849600).

5464894281600 is an abundant number, since it is smaller than the sum of its proper divisors (15460341417600).

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

5464894281600 is a wasteful number, since it uses less digits than its factorization.

5464894281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65743 (or 65726 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 5464894281600 in words is "five trillion, four hundred sixty-four billion, eight hundred ninety-four million, two hundred eighty-one thousand, six hundred".