4548960000 has 720 divisors, whose sum is σ = 18326258720. Its totient is φ = 1119744000.

The previous prime is 4548959999. The next prime is 4548960019. The reversal of 4548960000 is 698454.

4548960000 is a `hidden beast` number, since 4 + 5 + 48 + 9 + 600 + 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 Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2340 × 900 × 2160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349919994 + ... + 349920006.

Almost surely, 2^4548960000 is an apocalyptic number.

4548960000 is a gapful number since it is divisible by the number (40) 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 4548960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163129360).

4548960000 is an abundant number, since it is smaller than the sum of its proper divisors (13777298720).

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

4548960000 is an frugal number, since it uses more digits than its factorization.

4548960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4548960000 is about 67445.9783827027. The cubic root of 4548960000 is about 1656.9295348529.

The spelling of 4548960000 in words is "four billion, five hundred forty-eight million, nine hundred sixty thousand".