4516249680 has 120 divisors (see below), whose sum is σ = 15415862280. Its totient is φ = 1184578560.

The previous prime is 4516249679. The next prime is 4516249681. The reversal of 4516249680 is 869426154.

It is an interprime number because it is at equal distance from previous prime (4516249679) and next prime (4516249681).

It can be written as a sum of positive squares in 4 ways, for example, as 111007296 + 4405242384 = 10536^2 + 66372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4516249680² = 40793022344200204800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516249681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7495 + ... + 95334.

It is an arithmetic number, because the mean of its divisors is an integer number (128465519).

Almost surely, 2^4516249680 is an apocalyptic number.

4516249680 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 4516249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707931140).

4516249680 is an abundant number, since it is smaller than the sum of its proper divisors (10899612600).

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

4516249680 is a wasteful number, since it uses less digits than its factorization.

4516249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102909 (or 102900 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4516249680 is about 67203.0481451548. The cubic root of 4516249680 is about 1652.9484691386.

The spelling of 4516249680 in words is "four billion, five hundred sixteen million, two hundred forty-nine thousand, six hundred eighty".