5445468000 has 720 divisors, whose sum is σ = 23317598304. Its totient is φ = 1244678400.

The previous prime is 5445467969. The next prime is 5445468037. The reversal of 5445468000 is 8645445.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5445468000 is a `hidden beast` number, since 544 + 54 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 777923997 + ... + 777924003.

Almost surely, 2^5445468000 is an apocalyptic number.

5445468000 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 5445468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658799152).

5445468000 is an abundant number, since it is smaller than the sum of its proper divisors (17872130304).

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

5445468000 is an frugal number, since it uses more digits than its factorization.

5445468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5445468000 is about 73793.4143403055. The cubic root of 5445468000 is about 1759.3209329304.

Multiplying 5445468000 by its product of nonzero digits (76800), we get a 5-th power (418211942400000 = 840⁵).

The spelling of 5445468000 in words is "five billion, four hundred forty-five million, four hundred sixty-eight thousand".