4563679680 has 504 divisors, whose sum is σ = 18551877552. Its totient is φ = 1026514944.

The previous prime is 4563679657. The next prime is 4563679697. The reversal of 4563679680 is 869763654.

4563679680 is a `hidden beast` number, since 4 + 563 + 6 + 79 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10301539 + ... + 10301981.

Almost surely, 2^4563679680 is an apocalyptic number.

4563679680 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 4563679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275938776).

4563679680 is an abundant number, since it is smaller than the sum of its proper divisors (13988197872).

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

4563679680 is a wasteful number, since it uses less digits than its factorization.

4563679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4563679680 is about 67555.0122492773. The cubic root of 4563679680 is about 1658.7147936785.

It can be divided in two parts, 45636 and 79680, that added together give a square (125316 = 354²).

The spelling of 4563679680 in words is "four billion, five hundred sixty-three million, six hundred seventy-nine thousand, six hundred eighty".