4567380480 has 960 divisors, whose sum is σ = 19409829120. Its totient is φ = 1012137984.

The previous prime is 4567380473. The next prime is 4567380541. The reversal of 4567380480 is 840837654.

4567380480 is a `hidden beast` number, since 4 + 567 + 3 + 8 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 198581749 + ... + 198581771.

It is an arithmetic number, because the mean of its divisors is an integer number (20218572).

Almost surely, 2^4567380480 is an apocalyptic number.

4567380480 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 4567380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704914560).

4567380480 is an abundant number, since it is smaller than the sum of its proper divisors (14842448640).

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

4567380480 is a wasteful number, since it uses less digits than its factorization.

4567380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4567380480 is about 67582.3977082790. The cubic root of 4567380480 is about 1659.1630367323.

The spelling of 4567380480 in words is "four billion, five hundred sixty-seven million, three hundred eighty thousand, four hundred eighty".