8535703680 has 384 divisors, whose sum is σ = 34777267200. Its totient is φ = 1887805440.

The previous prime is 8535703679. The next prime is 8535703741. The reversal of 8535703680 is 863075358.

8535703680 is a `hidden beast` number, since 8 + 535 + 7 + 0 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1246506 + ... + 1253334.

It is an arithmetic number, because the mean of its divisors is an integer number (90565800).

Almost surely, 2^8535703680 is an apocalyptic number.

8535703680 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 8535703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388633600).

8535703680 is an abundant number, since it is smaller than the sum of its proper divisors (26241563520).

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

8535703680 is a wasteful number, since it uses less digits than its factorization.

8535703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8535703680 is about 92388.8720571910. The cubic root of 8535703680 is about 2043.6810125130.

The spelling of 8535703680 in words is "eight billion, five hundred thirty-five million, seven hundred three thousand, six hundred eighty".