4017525680 has 360 divisors, whose sum is σ = 12215030688. Its totient is φ = 1220825088.

The previous prime is 4017525649. The next prime is 4017525691. The reversal of 4017525680 is 865257104.

It is a super-2 number, since 2×4017525680² = 32281025178918924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24056957 + ... + 24057123.

Almost surely, 2^4017525680 is an apocalyptic number.

4017525680 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 4017525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107515344).

4017525680 is an abundant number, since it is smaller than the sum of its proper divisors (8197505008).

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

4017525680 is a wasteful number, since it uses less digits than its factorization.

4017525680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 4017525680 is about 63383.9544364345. The cubic root of 4017525680 is about 1589.7160311932.

The spelling of 4017525680 in words is "four billion, seventeen million, five hundred twenty-five thousand, six hundred eighty".