4532809680 has 480 divisors, whose sum is σ = 18371145600. Its totient is φ = 1024192512.

The previous prime is 4532809679. The next prime is 4532809703. The reversal of 4532809680 is 869082354.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11959731 + ... + 11960109.

It is an arithmetic number, because the mean of its divisors is an integer number (38273220).

Almost surely, 2^4532809680 is an apocalyptic number.

4532809680 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 4532809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185572800).

4532809680 is an abundant number, since it is smaller than the sum of its proper divisors (13838335920).

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

4532809680 is a wasteful number, since it uses less digits than its factorization.

4532809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

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

The square root of 4532809680 is about 67326.1441046493. The cubic root of 4532809680 is about 1654.9663261404.

The spelling of 4532809680 in words is "four billion, five hundred thirty-two million, eight hundred nine thousand, six hundred eighty".