3680663224320 has 720 divisors, whose sum is σ = 13808821178880. Its totient is φ = 938719051776.

The previous prime is 3680663224261. The next prime is 3680663224331. The reversal of 3680663224320 is 234223660863.

3680663224320 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 6 + 632 + 2 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 457846861 + ... + 457854899.

It is an arithmetic number, because the mean of its divisors is an integer number (19178918304).

Almost surely, 2^{3680663224320} is an apocalyptic number.

3680663224320 is a gapful number since it is divisible by the number (30) 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 3680663224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904410589440).

3680663224320 is an abundant number, since it is smaller than the sum of its proper divisors (10128157954560).

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

3680663224320 is an frugal number, since it uses more digits than its factorization.

3680663224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3680663224320 in words is "three trillion, six hundred eighty billion, six hundred sixty-three million, two hundred twenty-four thousand, three hundred twenty".