9783607680 has 1536 divisors, whose sum is σ = 47048601600. Its totient is φ = 1881169920.

The previous prime is 9783607643. The next prime is 9783607697. The reversal of 9783607680 is 867063879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227525739 + ... + 227525781.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^9783607680 is an apocalyptic number.

9783607680 is a gapful number since it is divisible by the number (90) 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 9783607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524300800).

9783607680 is an abundant number, since it is smaller than the sum of its proper divisors (37264993920).

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

9783607680 is a wasteful number, since it uses less digits than its factorization.

9783607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9783607680 is about 98912.1209963673. The cubic root of 9783607680 is about 2138.7811267305.

The spelling of 9783607680 in words is "nine billion, seven hundred eighty-three million, six hundred seven thousand, six hundred eighty".