4800689352000 has 672 divisors, whose sum is σ = 17954430683904. Its totient is φ = 1222138368000.

The previous prime is 4800689351963. The next prime is 4800689352013. The reversal of 4800689352000 is 2539860084.

4800689352000 is a `hidden beast` number, since 48 + 0 + 0 + 6 + 89 + 3 + 520 + 0 + 0 = 666.

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, 945573462 + ... + 945578538.

Almost surely, 2^{4800689352000} is an apocalyptic number.

4800689352000 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 4800689352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977215341952).

4800689352000 is an abundant number, since it is smaller than the sum of its proper divisors (13153741331904).

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

4800689352000 is a wasteful number, since it uses less digits than its factorization.

4800689352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5681 counting only the distinct ones).

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

The spelling of 4800689352000 in words is "four trillion, eight hundred billion, six hundred eighty-nine million, three hundred fifty-two thousand".