4725060480 has 640 divisors, whose sum is σ = 19994040000. Its totient is φ = 1040449536.

The previous prime is 4725060449. The next prime is 4725060503. The reversal of 4725060480 is 840605274.

4725060480 is a `hidden beast` number, since 4 + 72 + 50 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523296 + ... + 10523744.

Almost surely, 2^4725060480 is an apocalyptic number.

4725060480 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 4725060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997020000).

4725060480 is an abundant number, since it is smaller than the sum of its proper divisors (15268979520).

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

4725060480 is a wasteful number, since it uses less digits than its factorization.

4725060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4725060480 is about 68739.0753501966. The cubic root of 4725060480 is about 1678.0405727008.

The spelling of 4725060480 in words is "four billion, seven hundred twenty-five million, sixty thousand, four hundred eighty".