224025439680 has 672 divisors, whose sum is σ = 939959894016. Its totient is φ = 47804940288.

The previous prime is 224025439643. The next prime is 224025439691. The reversal of 224025439680 is 86934520422.

224025439680 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 254 + 396 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 43522867 + ... + 43528013.

Almost surely, 2^224025439680 is an apocalyptic number.

224025439680 is a gapful number since it is divisible by the number (20) 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 224025439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469979947008).

224025439680 is an abundant number, since it is smaller than the sum of its proper divisors (715934454336).

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

224025439680 is a wasteful number, since it uses less digits than its factorization.

224025439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 224025439680 in words is "two hundred twenty-four billion, twenty-five million, four hundred thirty-nine thousand, six hundred eighty".