8035609680 has 480 divisors, whose sum is σ = 32478421248. Its totient is φ = 1741824000.

The previous prime is 8035609669. The next prime is 8035609733. The reversal of 8035609680 is 869065308.

8035609680 is a `hidden beast` number, since 8 + 0 + 3 + 560 + 9 + 6 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7645155 + ... + 7646205.

Almost surely, 2^8035609680 is an apocalyptic number.

8035609680 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 8035609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239210624).

8035609680 is an abundant number, since it is smaller than the sum of its proper divisors (24442811568).

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

8035609680 is a wasteful number, since it uses less digits than its factorization.

8035609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8035609680 is about 89641.5622353828. The cubic root of 8035609680 is about 2002.9630812402.

The spelling of 8035609680 in words is "eight billion, thirty-five million, six hundred nine thousand, six hundred eighty".