4559876640 has 192 divisors, whose sum is σ = 17410619520. Its totient is φ = 1105413120.

The previous prime is 4559876621. The next prime is 4559876653. The reversal of 4559876640 is 466789554.

4559876640 is a `hidden beast` number, since 4 + 5 + 598 + 7 + 6 + 6 + 40 = 666.

It is a super-3 number, since 3×4559876640³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 459 + ... + 95498.

It is an arithmetic number, because the mean of its divisors is an integer number (90680310).

Almost surely, 2^4559876640 is an apocalyptic number.

4559876640 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 4559876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705309760).

4559876640 is an abundant number, since it is smaller than the sum of its proper divisors (12850742880).

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

4559876640 is a wasteful number, since it uses less digits than its factorization.

4559876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95992 (or 95978 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4559876640 is about 67526.8586563895. The cubic root of 4559876640 is about 1658.2539147228.

The spelling of 4559876640 in words is "four billion, five hundred fifty-nine million, eight hundred seventy-six thousand, six hundred forty".