8535479680 has 512 divisors, whose sum is σ = 27427196160. Its totient is φ = 2463105024.

The previous prime is 8535479657. The next prime is 8535479681. The reversal of 8535479680 is 869745358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8535479681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36632844 + ... + 36633076.

Almost surely, 2^8535479680 is an apocalyptic number.

8535479680 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 8535479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

8535479680 is an abundant number, since it is smaller than the sum of its proper divisors (18891716480).

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

8535479680 is a wasteful number, since it uses less digits than its factorization.

8535479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The square root of 8535479680 is about 92387.6597820293. The cubic root of 8535479680 is about 2043.6631351136.

The spelling of 8535479680 in words is "eight billion, five hundred thirty-five million, four hundred seventy-nine thousand, six hundred eighty".