3680372479680 has 2016 divisors, whose sum is σ = 15319234344960. Its totient is φ = 834433228800.

The previous prime is 3680372479673. The next prime is 3680372479717. The reversal of 3680372479680 is 869742730863.

3680372479680 is a `hidden beast` number, since 3 + 6 + 80 + 3 + 7 + 2 + 479 + 6 + 80 = 666.

3680372479680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24373327605 + ... + 24373327755.

It is an arithmetic number, because the mean of its divisors is an integer number (7598826560).

Almost surely, 2^{3680372479680} is an apocalyptic number.

3680372479680 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 3680372479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659617172480).

3680372479680 is an abundant number, since it is smaller than the sum of its proper divisors (11638861865280).

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

3680372479680 is a wasteful number, since it uses less digits than its factorization.

3680372479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3680372479680 in words is "three trillion, six hundred eighty billion, three hundred seventy-two million, four hundred seventy-nine thousand, six hundred eighty".