4497680880000 has 1920 divisors, whose sum is σ = 20822142781440. Its totient is φ = 904089600000.

The previous prime is 4497680879983. The next prime is 4497680880029. The reversal of 4497680880000 is 880867944.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1718638692 + ... + 1718641308.

It is an arithmetic number, because the mean of its divisors is an integer number (10844866032).

Almost surely, 2^{4497680880000} is an apocalyptic number.

4497680880000 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 4497680880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411071390720).

4497680880000 is an abundant number, since it is smaller than the sum of its proper divisors (16324461901440).

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

4497680880000 is a wasteful number, since it uses less digits than its factorization.

4497680880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4497680880000 in words is "four trillion, four hundred ninety-seven billion, six hundred eighty million, eight hundred eighty thousand".