4524007680 has 288 divisors, whose sum is σ = 16266969600. Its totient is φ = 1190412288.

The previous prime is 4524007679. The next prime is 4524007681. The reversal of 4524007680 is 867004254.

It is an interprime number because it is at equal distance from previous prime (4524007679) and next prime (4524007681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4524007681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2729412 + ... + 2731068.

Almost surely, 2^4524007680 is an apocalyptic number.

4524007680 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 4524007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133484800).

4524007680 is an abundant number, since it is smaller than the sum of its proper divisors (11742961920).

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

4524007680 is a wasteful number, since it uses less digits than its factorization.

4524007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1746 counting only the distinct ones).

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

The square root of 4524007680 is about 67260.7439744759. The cubic root of 4524007680 is about 1653.8944043257.

The spelling of 4524007680 in words is "four billion, five hundred twenty-four million, seven thousand, six hundred eighty".