4554688320 has 560 divisors, whose sum is σ = 19951037568. Its totient is φ = 960491520.

The previous prime is 4554688309. The next prime is 4554688337. The reversal of 4554688320 is 238864554.

4554688320 is a `hidden beast` number, since 4 + 5 + 546 + 8 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2357755 + ... + 2359685.

Almost surely, 2^4554688320 is an apocalyptic number.

4554688320 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 4554688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975518784).

4554688320 is an abundant number, since it is smaller than the sum of its proper divisors (15396349248).

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

4554688320 is a wasteful number, since it uses less digits than its factorization.

4554688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4554688320 is about 67488.4310085810. The cubic root of 4554688320 is about 1657.6247444043.

The spelling of 4554688320 in words is "four billion, five hundred fifty-four million, six hundred eighty-eight thousand, three hundred twenty".