8720401680 has 200 divisors, whose sum is σ = 31264975104. Its totient is φ = 2250374400.

The previous prime is 8720401663. The next prime is 8720401681. The reversal of 8720401680 is 861040278.

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

It is not an unprimeable number, because it can be changed into a prime (8720401681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179175 + ... + 222585.

Almost surely, 2^8720401680 is an apocalyptic number.

8720401680 is a gapful number since it is divisible by the number (80) 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 8720401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632487552).

8720401680 is an abundant number, since it is smaller than the sum of its proper divisors (22544573424).

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

8720401680 is a wasteful number, since it uses less digits than its factorization.

8720401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43467 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8720401680 is about 93383.0909747584. The cubic root of 8720401680 is about 2058.3165370879.

The spelling of 8720401680 in words is "eight billion, seven hundred twenty million, four hundred one thousand, six hundred eighty".