4600903680000 has 1350 divisors, whose sum is σ = 17633548336404. Its totient is φ = 1198374912000.

The previous prime is 4600903679989. The next prime is 4600903680047. The reversal of 4600903680000 is 863090064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4600903680000 is a `hidden beast` number, since 460 + 0 + 90 + 36 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 106997759979 + ... + 106997760021.

Almost surely, 2^{4600903680000} is an apocalyptic number.

4600903680000 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 4600903680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816774168202).

4600903680000 is an abundant number, since it is smaller than the sum of its proper divisors (13032644656404).

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

4600903680000 is an frugal number, since it uses more digits than its factorization.

4600903680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 4600903680000 in words is "four trillion, six hundred billion, nine hundred three million, six hundred eighty thousand".